Transformations

Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving coth^-1(- z)

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

Involving coth^-1(1/z)

Involving coth^-1(1/z) and coth^-1(z)

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

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

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

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

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

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

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

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

Involving coth^-1((z₂)^1/2)

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

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

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

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

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

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

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

Involving coth^-1(2z/1+z²)

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

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

Involving coth^-1(1+z²/2z)

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

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

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

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

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

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

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

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

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

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

Involving coth^-1((z²-1)^1/2+c z)

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

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

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

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

Involving coth^-1(1/(z²-1)^1/2+c z)

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

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

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

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

Involving coth^-1((1-z²)^1/2+a/z)

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

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

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

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

Involving coth^-1(z/(1-z²)^1/2+a)

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

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

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

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

Products, sums, and powers of the direct function

Sums of the direct function

Differences of the direct function

Linear combinations of the direct function

Related transformations

Sums involving the direct function

Involving log(z)

Involving sin^-1(z)

Involving cos^-1(z)

Involving tan^-1(z)