Representations through equivalent functions

With inverse function

Involving sinh^-1(sinh(z))

Involving sinh(sinh^-1(z))

With related functions

Involving log

Involving sin^-1

Involving sinh^-1(z)

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

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

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

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

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

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

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

Involving sinh^-1(i z)

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

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

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

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

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

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

Involving sinh^-1((c z²)^1/2)

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

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

Involving sinh^-1(a (b z^c)^m)

Involving sinh^-1(a (b z^c)^m) and sin^-1(i a b^m z^{m c})

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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)

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

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

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

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

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

Involving sinh^-1((a z^c-1)^1/2) and sin^-1(a^1/2 z^c/2)

Involving sinh^-1((1-z²)^1/2/z)

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

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)

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)

Involving sinh^-1(1-z²/z^21/2)

Involving sinh^-1(1-z²/z^21/2) and sin^-1(1/z)

Involving sinh^-1(2 z (z²-1)^1/2)

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

Involving sinh^-1(2 (1-z²)^1/2/z²)

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

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)

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)

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)

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)

Involving cos^-1

Involving sinh^-1(z)

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

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

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

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

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

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

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