Transformations

Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving csch^-1(- z)

Involving csch^-1(-z) and csch^-1(z)

Involving csch^-1((z₂)^1/2)

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

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

Involving csch^-1(a (b z^c)^m) and csch^-1(a b^m z^{m c})

Involving csch^-1(1/(c z-1)^1/2)

Involving csch^-1(1/(z-1)^1/2) and csch^-1(i/z^1/2)

Involving csch^-1(1/(z-1)^1/2) and csch^-1((-1/z)^1/2)

Involving csch^-1(1/(-z-1)^1/2) and csch^-1(1/z^1/2)

Involving csch^-1(1/(-z-1)^1/2) and csch^-1(1/z^1/2)

Involving csch^-1(1/c z-1^1/2)

Involving csch^-1(1/z-1^1/2) and csch^-1(i/z^1/2)

Involving csch^-1(1/z-1^1/2) and csch^-1((-1/z)^1/2)

Involving csch^-1(1/-z-1^1/2) and csch^-1(1/z^1/2)

Involving csch^-1(1/-z-1^1/2) and csch^-1(1/z^1/2)

Involving csch ^-1(2^1/2/(c z-1)^1/2)

Involving csch^-1(2^1/2/(-z-1)^1/2) and csch^-1(i/z)

Involving csch^-1(2^1/2/(z-1)^1/2) and csch^-1(i/z)

Involving csch ^-1(2/c z-1^1/2)

Involving csch^-1(2/-z-1^1/2) and csch^-1(i/z)

Involving csch^-1(2/z-1^1/2) and csch^-1(i/z)

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

Involving csch^-1(z^1/2/(-z-1)^1/2) and csch^-1(z^1/2)

Involving csch^-1((-z)^1/2/(z+1)^1/2)

Involving csch^-1((-z)^1/2/(z+1)^1/2) and csch^-1(z^1/2)

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

Involving csch^-1(z/-z-1^1/2) and csch^-1(z^1/2)

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

Involving csch^-1((2z)^1/2/(-i-z)^1/2) and csch^-1(z)

Involving csch^-1((2z)^1/2/(i-z)^1/2) and csch^-1(z)

Involving csch^-1((2z)^1/2/(-z-1)^1/2) and csch^-1(i z)

Involving csch^-1((2z)^1/2/(1-z)^1/2) and csch^-1(i z)

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

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

Involving csch^-1((-2z)^1/2/(z-i)^1/2) and csch^-1(z)

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

Involving csch^-1((-2z)^1/2/(z-1)^1/2) and csch^-1(i z)

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

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

Involving csch^-1(2z/i-z^1/2) and csch^-1(z)

Involving csch^-1(2z/-z-1^1/2) and csch^-1(i z)

Involving csch^-1(2z/1-z^1/2) and csch^-1(i z)

Involving csch^-1(1/(-1-z²)^1/2)

Involving csch^-1(1/(-1-z²)^1/2) and csch^-1(1/z)

Involving csch^-1(1/-1-z^21/2)

Involving csch^-1(1/-1-z^21/2) and csch^-1(1/z)

Involving csch^-1(z/(-z²-1)^1/2)

Involving csch^-1(z/(-1-z²)^1/2) and csch^-1(z)

Involving csch^-1((z₂)^1/2/(-z²-1)^1/2)

Involving csch^-1((z₂)^1/2/(-z²-1)^1/2) and csch^-1(z)

Involving csch^-1((-z²)^1/2/(z²+1)^1/2)

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

Involving csch^-1(z²/-z²-1^1/2)

Involving csch^-1(z²/-z²-1^1/2) and csch^-1(z)

Involving csch^-1(1/2 z (1+z²)^1/2)

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

Involving csch^-1(z²/2 (z²-1)^1/2)

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

Involving csch^-1(2^1/2/((1+z²)^1/2-1)^1/2)

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

Involving csch^-1((2/((1+z²)^1/2-1))^1/2)

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

Involving csch^-1((2z²)^1/2/(z ((1+z²)^1/2-1)^1/2))

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

Involving csch^-1(1/z (2z²/((1+z²)^1/2-1))^1/2)

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

Involving csch^-1((2z)^1/2/((z²+1)^1/2-z)^1/2)

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

Involving csch^-1((2z/((z²+1)^1/2-z))^1/2)

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

Products, sums, and powers of the direct function

Sums of the direct function

Differences of the direct function