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ArcSinh






Mathematica Notation

Traditional Notation









Elementary Functions >ArcSinh[z]





Representations through equivalent functions

With inverse function

Involving sinh-1(sinh(z))

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Involving sinh(sinh-1(z))

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With related functions

Involving log

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Involving sin-1

Involving sinh-1(z)

Involving sinh-1(z) and sin-1(i z)

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Involving sinh-1(z) and sin-1(1+2 z2)

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Involving sinh-1(z) and sin-1((1-+ z)1/2/21/2)

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Involving sinh-1(z) and sin-1((1-i z)1/2/21/2)

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Involving sinh-1(z) and sin-1((-z2)1/2)

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Involving sinh-1(z) and sin-1((1+z2)1/2)

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Involving sinh-1(z) and sin-1(2 z (-z2-1)1/2)

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Involving sinh-1(i z)

Involving sinh-1(i z) and sin-1(z)

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Involving sinh-1(z1/2)

Involving sinh-1(z1/2) and sin-1((-z)1/2)

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Involving sinh-1(1/z1/2)

Involving sinh-1(1/z1/2) and sin-1(1/(-z)1/2)

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Involving sinh-1(1/z1/2) and sin-1((-1/z)1/2)

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Involving sinh-1((c z2)1/2)

Involving sinh-1((z2)1/2) and sin-1(i z)

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Involving sinh-1((-z2)1/2) and sin-1(z)

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Involving sinh-1(a (b zc)m)

Involving sinh-1(a (b zc)m) and sin-1(i a bm zm c)

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Involving sinh-1((z-1)1/2)

Involving sinh-1((z-1)1/2) and sin-1(z1/2)

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Involving sinh-1((-1+c z)1/2/21/2)

Involving sinh-1((-1-z)1/2/21/2) and sin-1(z)

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Involving sinh-1((z-1)1/2/21/2) and sin-1(z)

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Involving sinh-1((1-z)1/2/z1/2)

Involving sinh-1((1-z)1/2/z1/2) and sin-1(1/z1/2)

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Involving sinh-1((1-z)1/2/z1/2) and sin-1(1/z1/2)

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Involving sinh-1((z-1)1/2/(-z)1/2)

Involving sinh-1((z-1)1/2/(-z)1/2) and sin-1(1/z1/2)

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Involving sinh-1((z-1)1/2/(-z)1/2) and sin-1(1/z1/2)

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Involving sinh-1(1-z/z1/2)

Involving sinh-1(1-z/z1/2) and sin-1(1/z1/2)

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Involving sinh-1(1-z/z1/2) and sin-1(1/z1/2)

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Involving sinh-1((a-z)1/2/(2z)1/2)

Involving sinh-1((-z-1)1/2/(2 z)1/2) and sin-1(1/z)

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Involving sinh-1((1-z)1/2/(2 z)1/2) and sin-1(1/z)

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Involving sinh-1((z-a)1/2/(-2z)1/2)

Involving sinh-1((z+1)1/2/(-2 z)1/2) and sin-1(1/z)

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Involving sinh-1((z-1)1/2/(-2 z)1/2) and sin-1(1/z)

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Involving sinh-1(a-z/2z1/2)

Involving sinh-1(-z-1/2 z1/2) and sin-1(1/z)

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Involving sinh-1(1-z/2z1/2) and sin-1(1/z)

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Involving sinh-1((a zc-1)1/2)

Involving sinh-1((a zc-1)1/2) and sin-1(a1/2 zc/2)

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Involving sinh-1((1-z2)1/2/z)

Involving sinh-1((1-z2)1/2/z) and sin-1(1/z)

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Involving sinh-1((1-z2)1/2/(z2)1/2)

Involving sinh-1((1-z2)1/2/(z2)1/2) and sin-1(1/z)

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Involving sinh-1((z2-1)1/2/(-z2)1/2)

Involving sinh-1((z2-1)1/2/(-z2)1/2) and sin-1(1/z)

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Involving sinh-1(1-z2/z21/2)

Involving sinh-1(1-z2/z21/2) and sin-1(1/z)

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Involving sinh-1(2 z (z2-1)1/2)

Involving sinh-1(2 z (z2-1)1/2) and sin-1(z)

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Involving sinh-1(2 (1-z2)1/2/z2)

Involving sinh-1(2 (1-z2)1/2/z2) and sin-1(1/z)

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Involving sinh-1((((1-z2)1/2-1)/2)1/2)

Involving sinh-1((((1-z2)1/2-1)/2)1/2) and sin-1(z)

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Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2)

Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2) and sin-1(z)

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Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2)

Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2) and sin-1(z)

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Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2)

Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2) and sin-1(1/z)

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Involving sinh-1((((z2-1)1/2-z)/(2z))1/2)

Involving sinh-1((((z2-1)1/2-z)/(2z))1/2) and sin-1(1/z)

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Involving cos-1

Involving sinh-1(z)

Involving sinh-1(z) and cos-1(i z)

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Involving sinh-1(i z) and cos-1(z)

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Involving sinh-1(z) and cos-1(1+2 z2)

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Involving sinh-1(z) and cos-1((1+i z)1/2/21/2)

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Involving sinh-1(z) and cos-1((1-i z)1/2/21/2)

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Involving sinh-1(z) and cos-1((-z2)1/2)

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Involving sinh-1(z) and cos-1((1+z2)1/2)

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Involving sinh-1(z) and cos-1(2 z (-z2-1)1/2)

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Involving sinh-1(z1/2)

Involving sinh-1(z1/2) and cos-1((-z)1/2)

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Involving sinh-1(1/z1/2)

Involving sinh-1(1/z1/2) and cos-1(1/(-z)1/2)

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Involving sinh-1(1/z1/2) and cos-1((-1/z)1/2)

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Involving sinh-1((c z2)1/2)

Involving sinh-1((z2)1/2) and cos-1(i z)

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Involving sinh-1((-z2)1/2) and cos-1(z)

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Involving sinh-1(a (b zc)m)

Involving sinh-1(a (b zc)m) and cos-1(i a bm zm c)

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Involving sinh-1((z-1)1/2)

Involving sinh-1((z-1)1/2) and cos-1(z1/2)

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Involving sinh-1((-1+c z)1/2/21/2)

Involving sinh-1((-1-z)1/2/21/2) and cos-1(z)

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Involving sinh-1((z-1)1/2/21/2) and cos-1(z)

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Involving sinh-1((1-z)1/2/z1/2)

Involving sinh-1((1-z)1/2/z1/2) and cos-1(1/z1/2)

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Involving sinh-1((1-z)1/2/z1/2) and cos-1(1/z1/2)

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Involving sinh-1((z-1)1/2/(-z)1/2)

Involving sinh-1((z-1)1/2/(-z)1/2) and cos-1(1/z1/2)

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Involving sinh-1((z-1)1/2/(-z)1/2) and cos-1(1/z1/2)

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Involving sinh-1(1-z/z1/2)

Involving sinh-1(1-z/z1/2) and cos-1(1/z1/2)

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Involving sinh-1(1-z/z1/2) and cos-1(1/z1/2)

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Involving sinh-1((a-z)1/2/(2z)1/2)

Involving sinh-1((-z-1)1/2/(2 z)1/2) and cos-1(1/z)

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Involving sinh-1((1-z)1/2/(2 z)1/2) and cos-1(1/z)

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Involving sinh-1((z-a)1/2/(-2z)1/2)

Involving sinh-1((z+1)1/2/(-2 z)1/2) and cos-1(1/z)

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Involving sinh-1((z-1)1/2/(-2 z)1/2) and cos-1(1/z)

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Involving sinh-1(a-z/2z1/2)

Involving sinh-1(-z-1/2 z1/2) and cos-1(1/z)

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Involving sinh-1(1-z/2z1/2) and cos-1(1/z)

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Involving sinh-1((a zc-1)1/2)

Involving sinh-1((a zc-1)1/2) and cos-1(a1/2 zc/2)

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Involving sinh-1((1-z2)1/2/z)

Involving sinh-1((1-z2)1/2/z) and cos-1(1/z)

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Involving sinh-1((1-z2)1/2/(z2)1/2)

Involving sinh-1((1-z2)1/2/(z2)1/2) and cos-1(1/z)

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Involving sinh-1((z2-1)1/2/(-z2)1/2)

Involving sinh-1((z2-1)1/2/(-z2)1/2) and cos-1(1/z)

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Involving sinh-1(1-z2/z21/2)

Involving sinh-1(1-z2/z21/2) and cos-1(1/z)

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Involving sinh-1(2 z (z2-1)1/2)

Involving sinh-1(2 z (z2-1)1/2) and cos-1(z)

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Involving sinh-1(2 (1-z2)1/2/z2)

Involving sinh-1(2 (1-z2)1/2/z2) and cos-1(1/z)

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Involving sinh-1((((1-z2)1/2-1)/2)1/2)

Involving sinh-1((((1-z2)1/2-1)/2)1/2) and cos-1(z)

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Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2)

Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2) and cos-1(z)

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Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2)

Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2) and cos-1(z)

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Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2)

Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2) and cos-1(1/z)

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Involving sinh-1((((z2-1)1/2-z)/(2z))1/2)

Involving sinh-1((((z2-1)1/2-z)/(2z))1/2) and cos-1(1/z)

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Involving tan-1

Involving sinh-1(z)

Involving sinh-1(z) and tan-1((-1-z2)1/2/z)

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Involving sinh-1(z) and tan-1((-z2-1)1/2/(z2)1/2)

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Involving sinh-1(z) and tan-1((1+z2)1/2/(-z2)1/2)

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Involving sinh-1(z) and tan-1((-z2+1/z2)1/2)

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Involving sinh-1(z) and tan-1(z/(-z2-1)1/2)

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Involving sinh-1(z) and tan-1((-z2)1/2/(z2+1)1/2)

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Involving sinh-1(z) and tan-1((z2)1/2/(-z2-1)1/2)

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Involving sinh-1(z) and tan-1((-z2/z2+1)1/2)

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Involving sinh-1(z) and tan-1(2 z (-z2-1)1/2/1+2 z2)

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Involving sinh-1(z) and tan-1(1+2z2/2 z (-1-z2)1/2)

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Involving sinh-1(z) and tan-1((-i z-1)1/2/(i z-1)1/2)

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Involving sinh-1(z) and tan-1((1+i z)1/2/(1-i z)1/2)

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Involving sinh-1(z) and tan-1((z-i)1/2/(-z-i)1/2)

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Involving sinh-1(z) and tan-1((i-z)1/2/(i+z)1/2)

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Involving sinh-1(z) and tan-1(i-z/i+z1/2)

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Involving sinh-1(z) and tan-1((i z-1)1/2/(-i z-1)1/2)

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Involving sinh-1(z) and tan-1((1-i z)1/2/(1+i z)1/2)

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Involving sinh-1(z) and tan-1((-z-i)1/2/(z-i)1/2)

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Involving sinh-1(z) and tan-1((i+z)1/2/(i-z)1/2)

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Involving sinh-1(z) and tan-1(i+z/i-z1/2)

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Involving sinh-1(2 z/1-z2)

Involving sinh-1(2 z/1-z2) and tan-1(i z)

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Involving sinh-1(2 z/1-z2) and tan-1(i/z)

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Involving sinh-1(2 z/1-z2) and tan-1(i zr)

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Involving sinh-1(2 z/z2-1)

Involving sinh-1(2 z/z2-1) and tan-1(i z)

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Involving sinh-1(2 z/z2-1) and tan-1(i/z)

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Involving sinh-1(2 z/z2-1) and tan-1(i zr)

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Involving sinh-1(1/(-z-1)1/2)

Involving sinh-1(1/(-z-1)1/2) and tan-1(z1/2)

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Involving sinh-1(1/(-z-1)1/2) and tan-1(1/z1/2)

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Involving sinh-1(1/(-z-1)1/2) and tan-1(1/z1/2)

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Involving sinh-1(1/-1-z1/2)

Involving sinh-1(1/-1-z1/2) and tan-1(z1/2)

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Involving sinh-1(1/-1-z1/2) and tan-1(1/z1/2)

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Involving sinh-1(1/-1-z1/2) and tan-1(1/z1/2)

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Involving sinh-1((-z)1/2/(1+z)1/2)

Involving sinh-1((-z)1/2/(1+z)1/2) and tan-1(z1/2)

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Involving sinh-1((-z)1/2/(1+z)1/2) and tan-1(1/z1/2)

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Involving sinh-1((-z)1/2/(1+z)1/2) and tan-1(1/z1/2)

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Involving sinh-1(z1/2/(-1-z)1/2)

Involving sinh-1(z1/2/(-1-z)1/2) and tan-1(z1/2)

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Involving sinh-1(z1/2/(-1-z)1/2) and tan-1(1/z1/2)

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Involving sinh-1(z1/2/(-1-z)1/2) and tan-1(1/z1/2)

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Involving sinh-1(z/-1-z1/2)

Involving sinh-1(z/-1-z1/2) and tan-1(z1/2)

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Involving sinh-1(z/-1-z1/2) and tan-1(1/z1/2)

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Involving sinh-1(z/-1-z1/2) and tan-1(1/z1/2)

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Involving sinh-1(1/(-1-z2)1/2)

Involving sinh-1(1/(-1-z2)1/2) and tan-1(z)

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Involving sinh-1(1/(-1-z2)1/2) and tan-1(1/z)

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Involving sinh-1(1/-1-z21/2)

Involving sinh-1(1/-1-z21/2) and tan-1(z)

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Involving sinh-1(1/-1-z21/2) and tan-1(1/z)

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Involving sinh-1(z/(-1-z2)1/2)

Involving sinh-1(z/(-1-z2)1/2) and tan-1(z)

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Involving sinh-1(z/(-1-z2)1/2) and tan-1(1/z)

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Involving sinh-1((z2)1/2/(-1-z2)1/2)

Involving sinh-1((z2)1/2/(-1-z2)1/2) and tan-1(z)

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Involving sinh-1((z2)1/2/(-1-z2)1/2) and tan-1(1/z)

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Involving sinh-1((-z2)1/2/(1+z2)1/2)

Involving sinh-1((-z2)1/2/(1+z2)1/2) and tan-1(z)

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Involving sinh-1((-z2)1/2/(1+z2)1/2) and tan-1(1/z)

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Involving sinh-1(z2/-z2-11/2)

Involving sinh-1(z2/-z2-11/2) and tan-1(z)

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Involving sinh-1(z2/-z2-11/2) and tan-1(1/z)

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Involving sinh-1((1-(1+z2)1/2)1/2/(21/2 (1+z2)1/4))

Involving sinh-1((1-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and tan-1(z)

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Involving sinh-1((1-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and tan-1(1/z)

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Involving sinh-1((z-(1+z2)1/2)1/2/(21/2 (1+z2)1/4))

Involving sinh-1((z-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and tan-1(z)

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Involving sinh-1((z-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and tan-1(1/z)

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Involving sinh-1(((1-(1+z2)1/2)/(2(1+z2)1/2))1/2)

Involving sinh-1(((1-(1+z2)1/2)/(2(1+z2)1/2))1/2) and tan-1(z)

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Involving sinh-1(((1-(1+z2)1/2)/(2(1+z2)1/2))1/2) and tan-1(1/z)

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Involving sinh-1(((z-(1+z2)1/2)/(2(1+z2)1/2))1/2)

Involving sinh-1(((z-(1+z2)1/2)/(2(1+z2)1/2))1/2) and tan-1(z)

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Involving sinh-1(((z-(1+z2)1/2)/(2(1+z2)1/2))1/2) and tan-1(1/z)

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Involving cot-1

Involving sinh-1(z)

Involving sinh-1(z) and cot-1((-z2-1)1/2/z)

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Involving sinh-1(z) and cot-1((-z2-1)1/2/(z2)1/2)

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Involving sinh-1(z) and cot-1((z2+1)1/2/(-z2)1/2)

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Involving sinh-1(z) and cot-1((-z2+1/z2)1/2)

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Involving sinh-1(z) and cot-1(z/(-1-z2)1/2)

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Involving sinh-1(z) and cot-1((-z2)1/2/(1+z2)1/2)

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Involving sinh-1(z) and cot-1((z2)1/2/(-z2-1)1/2)

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Involving sinh-1(z) and cot-1((-z2/z2+1)1/2)

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Involving sinh-1(z) and cot-1(2 z (-1-z2)1/2/1+2z2)

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Involving sinh-1(z) and cot-1(1+2 z2/2 z (-z2-1)1/2)

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Involving sinh-1(z) and cot-1((-i z-1)1/2/(i z-1)1/2)

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Involving sinh-1(z) and cot-1((1+i z)1/2/(1-i z)1/2)

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Involving sinh-1(z) and cot-1((z-i)1/2/(-z-i)1/2)

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Involving sinh-1(z) and cot-1((i-z)1/2/(i+z)1/2)

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Involving sinh-1(z) and cot-1(i-z/i+z1/2)

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Involving sinh-1(z) and cot-1((i z-1)1/2/(-i z-1)1/2)

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Involving sinh-1(z) and cot-1((1-i z)1/2/(1+i z)1/2)

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Involving sinh-1(z) and cot-1((-z-i)1/2/(z-i)1/2)

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Involving sinh-1(z) and cot-1((i+z)1/2/(i-z)1/2)

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Involving sinh-1(z) and cot-1(i+z/i-z1/2)

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Involving sinh-1(2 z/1-z2)

Involving sinh-1(2 z/1-z2) and cot-1(i z)

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Involving sinh-1(2 z/1-z2) and cot-1(i/z)

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Involving sinh-1(2 z/1-z2) and cot-1(i zr)

>

Involving sinh-1(2 z/z2-1)

Involving sinh-1(2 z/z2-1) and cot-1(i z)

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Involving sinh-1(2 z/z2-1) and cot-1(i/z)

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Involving sinh-1(2 z/z2-1) and cot-1(i zr)

>

Involving sinh-1(1/(-z-1)1/2)

Involving sinh-1(1/(-z-1)1/2) and cot-1(z1/2)

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Involving sinh-1(1/(-z-1)1/2) and cot-1(1/z1/2)

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Involving sinh-1(1/(-z-1)1/2) and cot-1(1/z1/2)

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Involving sinh-1(1/-1-z1/2)

Involving sinh-1(1/-1-z1/2) and cot-1(z1/2)

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Involving sinh-1(1/-1-z1/2) and cot-1(1/z1/2)

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Involving sinh-1(1/-1-z1/2) and cot-1(1/z1/2)

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>

Involving sinh-1((-z)1/2/(1+z)1/2)

Involving sinh-1((-z)1/2/(1+z)1/2) and cot-1(z1/2)

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Involving sinh-1((-z)1/2/(1+z)1/2) and cot-1(1/z1/2)

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Involving sinh-1((-z)1/2/(1+z)1/2) and cot-1(1/z1/2)

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>

Involving sinh-1(z1/2/(-1-z)1/2)

Involving sinh-1(z1/2/(-1-z)1/2) and cot-1(z1/2)

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>

Involving sinh-1(z1/2/(-1-z)1/2) and cot-1(1/z1/2)

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Involving sinh-1(z1/2/(-1-z)1/2) and cot-1(1/z1/2)

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>

Involving sinh-1(z/-1-z1/2)

Involving sinh-1(z/-1-z1/2) and cot-1(z1/2)

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>

Involving sinh-1(z/-1-z1/2) and cot-1(1/z1/2)

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>

Involving sinh-1(z/-1-z1/2) and cot-1(1/z1/2)

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>

Involving sinh-1(1/(-1-z2)1/2)

Involving sinh-1(1/(-1-z2)1/2) and cot-1(z)

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Involving sinh-1(1/(-1-z2)1/2) and cot-1(1/z)

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Involving sinh-1(1/-1-z21/2)

Involving sinh-1(1/-1-z21/2) and cot-1(z)

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>

Involving sinh-1(1/-1-z21/2) and cot-1(1/z)

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>

Involving sinh-1(z/(-1-z2)1/2)

Involving sinh-1(z/(-1-z2)1/2) and cot-1(z)

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>

Involving sinh-1(z/(-1-z2)1/2) and cot-1(1/z)

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>

Involving sinh-1((z2)1/2/(-1-z2)1/2)

Involving sinh-1((z2)1/2/(-1-z2)1/2) and cot-1(z)

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Involving sinh-1((z2)1/2/(-1-z2)1/2) and cot-1(1/z)

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>

Involving sinh-1((-z2)1/2/(1+z2)1/2)

Involving sinh-1((-z2)1/2/(1+z2)1/2) and cot-1(z)

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>

Involving sinh-1((-z2)1/2/(1+z2)1/2) and cot-1(1/z)

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>

Involving sinh-1(z2/-z2-11/2)

Involving sinh-1(z2/-z2-11/2) and cot-1(z)

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>

Involving sinh-1(z2/-z2-11/2) and cot-1(1/z)

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>

Involving sinh-1((1-(1+z2)1/2)1/2/(21/2 (1+z2)1/4))

Involving sinh-1((1-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and cot-1(z)

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>

Involving sinh-1((1-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and cot-1(1/z)

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>

Involving sinh-1((z-(1+z2)1/2)1/2/(21/2 (1+z2)1/4))

Involving sinh-1((z-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and cot-1(z)

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Involving sinh-1((z-(1+z2)1/2)1/2/(21/2 (1+z2)1/4)) and cot-1(1/z)

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>

Involving sinh-1(((1-(1+z2)1/2)/(2(1+z2)1/2))1/2)

Involving sinh-1(((1-(1+z2)1/2)/(2(1+z2)1/2))1/2) and cot-1(z)

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>

Involving sinh-1(((1-(1+z2)1/2)/(2(1+z2)1/2))1/2) and cot-1(1/z)

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>

Involving sinh-1(((z-(1+z2)1/2)/(2(1+z2)1/2))1/2)

Involving sinh-1(((z-(1+z2)1/2)/(2(1+z2)1/2))1/2) and cot-1(z)

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Involving sinh-1(((z-(1+z2)1/2)/(2(1+z2)1/2))1/2) and cot-1(1/z)

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>

Involving csc-1

Involving sinh-1(z)

Involving sinh-1(z) and csc-1(i/z)

>

Involving sinh-1(i z) and csc-1(1/z)

>

Involving sinh-1(z) and csc-1(1/1+2 z2)

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>
>

Involving sinh-1(z) and csc-1(21/2/(1+i z)1/2)

>

Involving sinh-1(z) and csc-1(2/1+i z1/2)

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>
>

Involving sinh-1(z) and csc-1(21/2/(1-i z)1/2)

>

Involving sinh-1(z) and csc-1(2/1-i z1/2)

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>

Involving sinh-1(z) and csc-1(1/(-z2)1/2)

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>

Involving sinh-1(z) and csc-1((-1/z2)1/2)

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Involving sinh-1(z) and csc-1(1/(1+z2)1/2)

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Involving sinh-1(z) and csc-1(1/2 z (-z2-1)1/2)

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>

Involving sinh-1(z1/2)

Involving sinh-1(z1/2) and csc-1(1/(-z)1/2)

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>

Involving sinh-1(z1/2) and csc-1((-1/z)1/2)

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Involving sinh-1(1/z1/2)

Involving sinh-1(1/z1/2) and csc-1((-z)1/2)

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>

Involving sinh-1((c z2)1/2)

Involving sinh-1((z2)1/2) and csc-1(i/z)

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>

Involving sinh-1((-z2)1/2) and csc-1(1/z)

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>

Involving sinh-1(a (b zc)m)

Involving sinh-1(a (b zc)m) and csc-1(i/a b-m z-m c)

>

Involving sinh-1((z-1)1/2)

Involving sinh-1((z-1)1/2) and csc-1(1/z1/2)

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>

Involving sinh-1((z-1)1/2) and csc-1(1/z1/2)

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>

Involving sinh-1((-1+c z)1/2/21/2)

Involving sinh-1((-1-z)1/2/21/2) and csc-1(1/z)

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>

Involving sinh-1((z-1)1/2/21/2) and csc-1(1/z)

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>

Involving sinh-1((1-z)1/2/z1/2)

Involving sinh-1((1-z)1/2/z1/2) and csc-1(z1/2)

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>

Involving sinh-1((z-1)1/2/(-z)1/2)

Involving sinh-1((z-1)1/2/(-z)1/2) and csc-1(z1/2)

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>

Involving sinh-1(1-z/z1/2)

Involving sinh-1(1-z/z1/2) and csc-1(z1/2)

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>

Involving sinh-1((a-z)1/2/(2z)1/2)

Involving sinh-1((-z-1)1/2/(2 z)1/2) and csc-1(z)

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>

Involving sinh-1((1-z)1/2/(2 z)1/2) and csc-1(z)

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>

Involving sinh-1((z-a)1/2/(-2z)1/2)

Involving sinh-1((z+1)1/2/(-2 z)1/2) and csc-1(z)

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>

Involving sinh-1((z-1)1/2/(-2 z)1/2) and csc-1(z)

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>

Involving sinh-1(a-z/2z1/2)

Involving sinh-1(-z-1/2 z1/2) and csc-1(z)

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>

Involving sinh-1(1-z/2z1/2) and csc-1(z)

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>

Involving sinh-1((a zc-1)1/2)

Involving sinh-1((a zc-1)1/2) and csc-1(1/z)

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>
>

Involving sinh-1((1-z2)1/2/z)

Involving sinh-1((1-z2)1/2/z) and csc-1(z)

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>

Involving sinh-1((1-z2)1/2/(z2)1/2)

Involving sinh-1((1-z2)1/2/(z2)1/2) and csc-1(z)

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>

Involving sinh-1((z2-1)1/2/(-z2)1/2)

Involving sinh-1((z2-1)1/2/(-z2)1/2) and csc-1(z)

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>
>

Involving sinh-1(1-z2/z21/2)

Involving sinh-1(1-z2/z21/2) and csc-1(z)

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>

Involving sinh-1(2 z (z2-1)1/2)

Involving sinh-1(2 z (z2-1)1/2) and csc-1(1/z)

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>

Involving sinh-1(2 (1-z2)1/2/z2)

Involving sinh-1(2 (1-z2)1/2/z2) and csc-1(z)

>
>

Involving sinh-1((((1-z2)1/2-1)/2)1/2)

Involving sinh-1((((1-z2)1/2-1)/2)1/2) and csc-1(1/z)

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>
>

Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2)

Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2) and csc-1(1/z)

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>
>

Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2)

Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2) and csc-1(1/z)

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>
>

Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2)

Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2) and csc-1(z)

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>

Involving sinh-1((((z2-1)1/2-z)/(2z))1/2)

Involving sinh-1((((z2-1)1/2-z)/(2z))1/2) and csc-1(z)

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>

Involving sec-1

Involving sinh-1(z)

Involving sinh-1(z) and sec-1(i/z)

>

Involving sinh-1(i z) and sec-1(1/z)

>

Involving sinh-1(z) and sec-1(1/1+2 z2)

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>
>

Involving sinh-1(z) and sec-1(21/2/(1+i z)1/2)

>

Involving sinh-1(z) and sec-1(2/1+i z1/2)

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>
>

Involving sinh-1(z) and sec-1(21/2/(1-i z)1/2)

>

Involving sinh-1(z) and sec-1(2/1-i z1/2)

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>
>

Involving sinh-1(z) and sec-1(1/(-z2)1/2)

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>

Involving sinh-1(z) and sec-1((-1/z2)1/2)

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>

Involving sinh-1(z) and sec-1(1/(1+z2)1/2)

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>

Involving sinh-1(z) and sec-1(1/2 z (-z2-1)1/2)

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>

Involving sinh-1(z1/2)

Involving sinh-1(z1/2) and sec-1(1/(-z)1/2)

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>
>

Involving sinh-1(z1/2) and sec-1((-1/z)1/2)

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>

Involving sinh-1(1/z1/2)

Involving sinh-1(1/z1/2) and sec-1((-z)1/2)

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>
>

Involving sinh-1((c z2)1/2)

Involving sinh-1((z2)1/2) and sec-1(i/z)

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>

Involving sinh-1((-z2)1/2) and sec-1(1/z)

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>
>

Involving sinh-1(a (b zc)m)

Involving sinh-1(a (b zc)m) and sec-1(i/a b-m z-m c)

>

Involving sinh-1((z-1)1/2)

Involving sinh-1((z-1)1/2) and sec-1(1/z1/2)

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>

Involving sinh-1((z-1)1/2) and sec-1(1/z1/2)

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>

Involving sinh-1((-1+c z)1/2/21/2)

Involving sinh-1((-1-z)1/2/21/2) and sec-1(1/z)

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>

Involving sinh-1((z-1)1/2/21/2) and cos-1(z)

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>

Involving sinh-1((1-z)1/2/z1/2)

Involving sinh-1((1-z)1/2/z1/2) and sec-1(z1/2)

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>

Involving sinh-1((z-1)1/2/(-z)1/2)

Involving sinh-1((z-1)1/2/(-z)1/2) and sec-1(z1/2)

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>
>

Involving sinh-1(1-z/z1/2)

Involving sinh-1(1-z/z1/2) and sec-1(z1/2)

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>

Involving sinh-1((a-z)1/2/(2z)1/2)

Involving sinh-1((-z-1)1/2/(2 z)1/2) and sec-1(z)

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>

Involving sinh-1((1-z)1/2/(2 z)1/2) and sec-1(z)

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>

Involving sinh-1((z-a)1/2/(-2z)1/2)

Involving sinh-1((z+1)1/2/(-2 z)1/2) and sec-1(z)

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>

Involving sinh-1((z-1)1/2/(-2 z)1/2) and sec-1(z)

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>

Involving sinh-1(a-z/2z1/2)

Involving sinh-1(-z-1/2 z1/2) and sec-1(z)

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>

Involving sinh-1(1-z/2z1/2) and sec-1(z)

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>

Involving sinh-1((a zc-1)1/2)

Involving sinh-1((a zc-1)1/2) and sec-1(1/z)

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>
>

Involving sinh-1((1-z2)1/2/z)

Involving sinh-1((1-z2)1/2/z) and sec-1(z)

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>

Involving sinh-1((1-z2)1/2/(z2)1/2)

Involving sinh-1((1-z2)1/2/(z2)1/2) and sec-1(z)

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>

Involving sinh-1((z2-1)1/2/(-z2)1/2)

Involving sinh-1((z2-1)1/2/(-z2)1/2) and sec-1(z)

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>

Involving sinh-1(1-z2/z21/2)

Involving sinh-1(1-z2/z21/2) and sec-1(z)

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>
>

Involving sinh-1(2 z (z2-1)1/2)

Involving sinh-1(2 z (z2-1)1/2) and sec-1(1/z)

>
>

Involving sinh-1(2 (1-z2)1/2/z2)

Involving sinh-1(2 (1-z2)1/2/z2) and sec-1(z)

>
>

Involving sinh-1((((1-z2)1/2-1)/2)1/2)

Involving sinh-1((((1-z2)1/2-1)/2)1/2) and sec-1(1/z)

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>
>

Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2)

Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2) and sec-1(1/z)

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>
>

Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2)

Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2) and sec-1(1/z)

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>
>

Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2)

Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2) and sec-1(z)

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>

Involving sinh-1((((z2-1)1/2-z)/(2z))1/2)

Involving sinh-1((((z2-1)1/2-z)/(2z))1/2) and sec-1(z)

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>
>

Involving cosh-1

Involving sinh-1(z)

Involving sinh-1(z) and cosh-1(i z)

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>
>

Involving sinh-1(z) and cosh-1(-i z)

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>
>

Involving sinh-1(z) and cosh-1(1+2 z2)

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>

Involving sinh-1(z) and cosh-1(1+i z/21/2)

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Involving sinh-1(z) and cosh-1(1-i z/21/2)

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Involving sinh-1(z) and cosh-1((-z2)1/2)

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>
>

Involving sinh-1(z) and cosh-1((1+z2)1/2)

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>

Involving sinh-1(z) and cosh-1(2 i z (1+z2)1/2)

>
>

Involving sinh-1(z1/2)

Involving sinh-1(z1/2) and cosh-1((-z)1/2)

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>

Involving sinh-1(1/z1/2)

Involving sinh-1(1/z1/2) and cosh-1(1/(-z)1/2)

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>

Involving sinh-1(1/z1/2) and cosh-1((-1/z)1/2)

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>

Involving sinh-1((c z2)1/2)

Involving sinh-1((z2)1/2) and cosh-1(i z)

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>

Involving sinh-1((-z2)1/2) and cosh-1(z)

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Involving sinh-1((z-1)1/2)

Involving sinh-1((z-1)1/2) and cosh-1(z1/2)

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Involving sinh-1((-1+c z)1/2/21/2)

Involving sinh-1((-1-z)1/2/21/2) and cosh-1(z)

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Involving sinh-1((z-1)1/2/21/2) and cosh-1(z)

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Involving sinh-1((1-z)1/2/z1/2)

Involving sinh-1((1-z)1/2/z1/2) and cosh-1(1/z1/2)

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Involving sinh-1((1-z)1/2/z1/2) and cosh-1(1/z1/2)

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Involving sinh-1((z-1)1/2/(-z)1/2)

Involving sinh-1((z-1)1/2/(-z)1/2) and cosh-1(1/z1/2)

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Involving sinh-1((z-1)1/2/(-z)1/2) and cosh-1(1/z1/2)

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Involving sinh-1(1-z/z1/2)

Involving sinh-1(1-z/z1/2) and cosh-1(1/z1/2)

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Involving sinh-1(1-z/z1/2) and cosh-1(1/z1/2)

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Involving sinh-1((a-z)1/2/(2z)1/2)

Involving sinh-1((-z-1)1/2/(2 z)1/2) and cosh-1(1/z)

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Involving sinh-1((1-z)1/2/(2 z)1/2) and cosh-1(1/z)

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Involving sinh-1((z-a)1/2/(-2z)1/2)

Involving sinh-1((z+1)1/2/(-2 z)1/2) and cosh-1(1/z)

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Involving sinh-1((z-1)1/2/(-2 z)1/2) and cosh-1(1/z)

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Involving sinh-1(a-z/2z1/2)

Involving sinh-1(-z-1/2 z1/2) and cosh-1(1/z)

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Involving sinh-1(1-z/2z1/2) and cosh-1(1/z)

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Involving sinh-1((z2-1)1/2)

Involving sinh-1((z2-1)1/2) and cosh-1(z)

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Involving sinh-1((1-z2)1/2/z)

Involving sinh-1((1-z2)1/2/z) and cosh-1(1/z)

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Involving sinh-1((1-z2)1/2/(z2)1/2)

Involving sinh-1((1-z2)1/2/(z2)1/2) and cosh-1(1/z)

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Involving sinh-1((z2-1)1/2/(-z2)1/2)

Involving sinh-1((z2-1)1/2/(-z2)1/2) and cosh-1(1/z)

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Involving sinh-1(1-z2/z21/2)

Involving sinh-1(1-z2/z21/2) and cosh-1(1/z)

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Involving sinh-1(2 z (z2-1)1/2)

Involving sinh-1(2 z (z2-1)1/2) and cosh-1(z)

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Involving sinh-1(2 (1-z2)1/2/z2)

Involving sinh-1(2 (1-z2)1/2/z2) and cosh-1(1/z)

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Involving sinh-1((((1-z2)1/2-1)/2)1/2)

Involving sinh-1((((1-z2)1/2-1)/2)1/2) and cosh-1(z)

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Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2)

Involving sinh-1(z ((1-z2)1/2-1)1/2/(2z2)1/2) and cosh-1(z)

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Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2)

Involving sinh-1(z (((1-z2)1/2-1)/(2z2))1/2) and cosh-1(z)

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Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2)

Involving sinh-1(((z2-1)1/2-z)1/2/(2z)1/2) and cosh-1(1/z)

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Involving sinh-1((((z2-1)1/2-z)/(2z))1/2)

Involving sinh-1((((z2-1)1/2-z)/(2z))1/2) and cosh-1(1/z)

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Involving tanh-1

Involving sinh-1(z)

Involving sinh-1(z) and tanh-1((z2+1)1/2/z)

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Involving sinh-1(z) and tanh-1((z2+1)1/2/(z2)1/2)

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Involving sinh-1(z) and tanh-1((-1-z2)1/2/(-z2)1/2)

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Involving sinh-1(z) and tanh-1(z2+1/z21/2)

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Involving sinh-1(z) and tanh-1(z/(z2+1)1/2)

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Involving sinh-1(z) and tanh-1((z2)1/2/(z2+1)1/2)

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Involving sinh-1(z) and tanh-1((-z2)1/2/(-z2-1)1/2)

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Involving sinh-1(z) and tanh-1(z2/z2+11/2)

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Involving sinh-1(z) and tanh-1(2 z (z2+1)1/2/1+2 z2)

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Involving sinh-1(z) and tan-1(1+2z2/2 z (-1-z2)1/2)

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Involving sinh-1(z) and tanh-1((i z+1)1/2/(i z-1)1/2)

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Involving sinh-1(z) and tanh-1((-1-i z)1/2/(1-i z)1/2)

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Involving sinh-1(z) and tanh-1((z-i)1/2/(z+i)1/2)

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Involving sinh-1(z) and tanh-1((i-z)1/2/(-i-z)1/2)

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Involving sinh-1(z) and tanh-1(z-i/z+i1/2)

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Involving sinh-1(z) and tanh-1((i z-1)1/2/(i z+1)1/2)

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Involving sinh-1(z) and tanh-1((1-i z)1/2/(-i z-1)1/2)

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Involving sinh-1(z) and tanh-1((z+i)1/2/(z-i)1/2)

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Involving sinh-1(z) and tanh-1((-i-z)1/2/(i-z)1/2)

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Involving sinh-1(z) and tanh-1(z+i/z-i1/2)

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Involving sinh-1(2 z/1-z2)

Involving sinh-1(2 z/1-z2) and tanh-1(z)

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Involving sinh-1(2 z/1-z2) and tanh-1(1/z)

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Involving sinh-1(2 z/1-z2) and tanh-1(zr)

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Involving sinh-1(2 z/z2-1)

Involving sinh-1(2 z/z2-1) and tanh-1(z)

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Involving sinh-1(2 z/z2-1) and tanh-1(1/z)

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Involving sinh-1(2 z/z2-1) and tanh-1(zr)

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Involving sinh-1(1/(z-1)1/2)

Involving sinh-1(1/(z-1)1/2) and tanh-1(z1/2)

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Involving sinh-1(1/(z-1)1/2) and tanh-1(1/z1/2)

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Involving sinh-1(1/(z-1)1/2) and tanh-1(1/z1/2)

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Involving sinh-1(1/z-11/2)

Involving sinh-1(1/z-11/2) and tanh-1(z1/2)

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Involving sinh-1(1/z-11/2) and tanh-1(1/z1/2)

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Involving sinh-1(1/z-11/2) and tanh-1(1/z1/2)

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Involving sinh-1(z1/2/(1-z)1/2)

Involving sinh-1(z1/2/(1-z)1/2) and tanh-1(z1/2)

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Involving sinh-1(z1/2/(1-z)1/2) and tanh-1(1/z1/2)

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Involving sinh-1(z1/2/(1-z)1/2) and tanh-1(1/z1/2)

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Involving sinh-1((-z)1/2/(z-1)1/2)

Involving sinh-1((-z)1/2/(z-1)1/2) and tanh-1(z1/2)

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Involving sinh-1(z1/2/(1-z)1/2) and tanh-1(1/z1/2)

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Involving sinh-1(z1/2/(1-z)1/2) and tanh-1(1/z1/2)

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Involving sinh-1(z/1-z1/2)

Involving sinh-1(z/1-z1/2) and tanh-1(z1/2)

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Involving sinh-1(z/1-z1/2) and tanh-1(1/z1/2)

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Involving sinh-1(z/1-z1/2) and tanh-1(1/z1/2)

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Involving sinh-1(1/(z2-1)1/2)

Involving sinh-1(1/(z2-1)1/2) and tanh-1(z)

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Involving sinh-1(1/(z2-1)1/2) and tanh-1(1/z)

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Involving sinh-1(1/z2-11/2)

Involving sinh-1(1/z2-11/2) and tanh-1(z)

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Involving sinh-1(1/z2-11/2) and tanh-1(1/z)

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Involving sinh-1(z/(1-z2)1/2)

Involving sinh-1(z/(1-z2)1/2) and tanh-1(z)

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Involving sinh-1(z/(1-z2)1/2) and tanh-1(1/z)

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Involving sinh-1((z2)1/2/(1-z2)1/2)

Involving sinh-1((z2)1/2/(1-z2)1/2) and tanh-1(z)

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Involving sinh-1((z2)1/2/(1-z2)1/2) and tanh-1(1/z)

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Involving sinh-1((-z2)1/2/(z2-1)1/2)

Involving sinh-1((-z2)1/2/(z2-1)1/2) and tanh-1(z)

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Involving sinh-1((-z2)1/2/(z2-1)1/2) and tanh-1(1/z)

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Involving sinh-1(z2/1-z21/2)

Involving sinh-1(z2/1-z21/2) and tanh-1(z)

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Involving sinh-1(z2/1-z21/2) and tanh-1(1/z)

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Involving sinh-1((1-(1-z2)1/2)1/2/(21/2 (1-z2)1/4))

Involving sinh-1((1-(1-z2)1/2)1/2/(21/2 (1-z2)1/4)) and tanh-1(z)

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Involving sinh-1((1-(1-z2)1/2)1/2/(21/2 (1-z2)1/4)) and tanh-1(1/z)

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Involving sinh-1((z-(z2-1)1/2)1/2/(21/2 (z2-1)1/4))

Involving sinh-1((z-(z2-1)1/2)1/2/(21/2 (z2-1)1/4)) and tanh-1(z)

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Involving sinh-1((z-(z2-1)1/2)1/2/(21/2 (z2-1)1/4)) and tanh-1(1/z)

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Involving sinh-1(((1-(1-z2)1/2)/(2(1-z2)1/2))1/2)

Involving sinh-1(((1-(1-z2)1/2)/(2(1-z2)1/2))1/2) and tanh-1(z)

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Involving sinh-1(((1-(1-z2)1/2)/(2(1-z2)1/2))1/2) and tanh-1(1/z)

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Involving sinh-1(((z-(z2-1)1/2)/(2(z2-1)1/2))1/2)

Involving sinh-1(((z-(z2-1)1/2)/(2(z2-1)1/2))1/2) and tanh-1(z)

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Involving sinh-1(((z-(z2-1)1/2)/(2(z2-1)1/2))1/2) and tanh-1(1/z)

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Involving coth-1

Involving sinh-1(z)

Involving sinh-1(z) and coth-1((z2+1)1/2/z)

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Involving sinh-1(z) and coth-1((z2+1)1/2/(z2)1/2)

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Involving sinh-1(z) and coth-1((-z2-1)1/2/(-z2)1/2)

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Involving sinh-1(z) and coth-1(z2+1/z21/2)

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Involving sinh-1(z) and coth-1(z/(1+z2)1/2)

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Involving sinh-1(z) and coth-1((z2)1/2/(z2+1)1/2)

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Involving sinh-1(z) and coth-1((-z2)1/2/(-1-z2)1/2)

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Involving sinh-1(z) and coth-1(z2/z2+11/2)

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Involving sinh-1(z) and coth-1(2 z (1+z2)1/2/1+2z2)

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Involving sinh-1(z) and coth-1(1+2 z2/2 z (z2+1)1/2)

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Involving sinh-1(z) and coth-1((i z+1)1/2/(i z-1)1/2)

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Involving sinh-1(z) and coth-1((-1-i z)1/2/(1-i z)1/2)

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Involving sinh-1(z) and coth-1((z-i)1/2/(z+i)1/2)

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Involving sinh-1(z) and coth-1((i-z)1/2/(-i-z)1/2)

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Involving sinh-1(z) and coth-1(z-i/z+i1/2)

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Involving sinh-1(z) and coth-1((i z-1)1/2/(i z+1)1/2)

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Involving sinh-1(z) and coth-1((1-i z)1/2/(-1-i z)1/2)

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Involving sinh-1(z) and coth-1((z+i)1/2/(z-i)1/2)

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Involving sinh-1(z) and coth-1((-i-z)1/2/(i-z)1/2)

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Involving sinh-1(z) and coth-1(z+i/z-i1/2)

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Involving sinh-1(2 z/1-z2)

Involving sinh-1(2 z/1-z2) and coth-1(z)

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Involving sinh-1(2 z/1-z2) and coth-1(1/z)

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Involving sinh-1(2 z/1-z2) and coth-1(zr)

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Involving sinh-1(2 z/z2-1)

Involving sinh-1(2 z/z2-1) and coth-1(z)

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Involving sinh-1(2 z/z2-1) and coth-1(1/z)

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Involving sinh-1(2 z/z2-1) and coth-1(zr)

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Involving sinh-1(1/(z-1)1/2)

Involving sinh-1(1/(z-1)1/2) and coth-1(z1/2)

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Involving sinh-1(1/(z-1)1/2) and coth-1(1/z1/2)

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Involving sinh-1(1/(z-1)1/2) and coth-1(1/z1/2)

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Involving sinh-1(1/z-11/2)

Involving sinh-1(1/z-11/2) and coth-1(z1/2)

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