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ArcSinh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSinh[z] > Transformations





Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving sinh-1(- z)

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

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

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

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

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

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

Involving sinh-1((z-1)1/2) and sinh-1(iz1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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