Transformations
Transformations and argument simplifications
Argument involving basic arithmetic operations
Involving tanh^{1}( z)
Involving tanh^{1}(z) and tanh^{1}(z)
Involving tanh^{1}(1/z)
Involving tanh^{1}(1/z) and tanh^{1}(z)
Involving tanh^{1}(z^{1/2})
Involving tanh^{1}(z^{1/2}) and tanh^{1}(1/z^{1/2})
Involving tanh^{1}(z^{1/2}) and tanh^{1}(1/z^{1/2})
Involving tanh^{1}(z^{1/2}) and tanh^{1}(1/1/z^{1/2})
Involving tanh^{1}(z^{1/2})
Involving tanh^{1}(1/z^{1/2}) and tanh^{1}(z^{1/2})
Involving tanh^{1}((z_{2})^{1/2})
Involving tanh^{1}((z_{2})^{1/2}) and tanh^{1}(z)
Involving tanh^{1}((z_{2})^{1/2}) and tanh^{1}(1/z)
Involving tanh^{1}(1/z^{2}^{1/2})
Involving tanh^{1}(1/z^{2}^{1/2}) and tanh^{1}(z)
Involving coth^{1}(1/z^{2}^{1/2}) and coth^{1}(1/z)
Involving tanh^{1}(a (b z^{c})^{m})
Involving tanh^{1}(a (b z^{c})^{m}) and tanh^{1}(a b^{m} z^{m c})
Involving tanh^{1}(2 z/1+z^{2})
Involving tanh^{1}(2 z/1+z^{2}) and tanh^{1}(z)
Involving tanh^{1}(2 z/1+z^{2}) and tanh^{1}(1/z)
Involving tanh^{1}(1+z^{2}/2 z)
Involving tanh^{1}(1+z^{2}/2 z) and tanh^{1}(z)
Involving tanh^{1}(1+z^{2}/2 z) and tanh^{1}(1/z)
Involving tanh^{1}(2z^{1/2}/1+z)
Involving tanh^{1}(2z^{1/2}/1+z) and tanh^{1}(z^{1/2})
Involving tanh^{1}(2z^{1/2}/1+z) and tanh^{1}(1/z^{1/2})
Involving tanh^{1}(2z^{1/2}/1+z) and tanh^{1}(1/z^{1/2})
Involving tanh^{1}(1+z/2 z^{1/2})
Involving tanh^{1}(1+z/2 z^{1/2}) and tanh^{1}(z^{1/2})
Involving tanh^{1}(1+z/2 z^{1/2}) and tanh^{1}(1/z^{1/2})
Involving tanh^{1}(1+z/2 z^{1/2}) and tanh^{1}(1/z^{1/2})
Involving tanh^{1}((z^{2}1)^{1/2}+c z)
Involving tanh^{1}((z^{2}1)^{1/2}+z) and tanh^{1}(z)
Involving tanh^{1}((z^{2}1)^{1/2}+z) and tanh^{1}(1/z)
Involving tanh^{1}((z^{2}1)^{1/2}z) and tanh^{1}(z)
Involving tanh^{1}((1+z^{2})^{1/2}z) and tanh^{1}(1/z)
Involving tanh^{1}(1/(z^{2}1)^{1/2}+c z)
Involving tanh^{1}(1/(z^{2}1)^{1/2}+z) and tanh^{1}(z)
Involving tanh^{1}(1/(z^{2}1)^{1/2}+z) and tanh^{1}(1/z)
Involving tanh^{1}(1/(z^{2}1)^{1/2}z) and tanh^{1}(z)
Involving tanh^{1}(1/(z^{2}1)^{1/2}z) and tanh^{1}(1/z)
Involving tanh^{1}((1z^{2})^{1/2}+a/z)
Involving tanh^{1}((1z^{2})^{1/2}+1/z) and tanh^{1}(z)
Involving tanh^{1}((1z^{2})^{1/2}+1/z) and tanh^{1}(1/z)
Involving tanh^{1}((1z^{2})^{1/2}1/z) and tanh^{1}(z)
Involving tanh^{1}((1z^{2})^{1/2}1/z) and tanh^{1}(1/z)
Involving tanh^{1}(z/(1z^{2})^{1/2}+a)
Involving tanh^{1}(z/(1z^{2})^{1/2}+1) and tanh^{1}(z)
Involving tanh^{1}(z/(1z^{2})^{1/2}+1) and tanh^{1}(1/z)
Involving tanh^{1}(z/(1z^{2})^{1/2}1) and tanh^{1}(z)
Involving tanh^{1}(z/(1z^{2})^{1/2}1) and tanh^{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)
Involving cot^{1}(z)
Involving csc^{1}(z)
Involving sec^{1}(z)
Involving sinh^{1}(z)
Involving cosh^{1}(z)
Involving coth^{1}(z)
Involving csch^{1}(z)
Involving sech^{1}(z)
Differences involving the direct function
Involving log(z)
Involving sin^{1}(z)
Involving cos^{1}(z)
Involving tan^{1}(z)
Involving cot^{1}(z)
Involving csc^{1}(z)
Involving sec^{1}(z)
Involving sinh^{1}(z)
Involving cosh^{1}(z)
Involving coth^{1}(z)
Involving csch^{1}(z)
Involving sech^{1}(z)
Linear combinations involving the direct function
Involving log(z)
Involving sin^{1}(z)
Involving cos^{1}(z)
Involving tan^{1}(z)
Involving cot^{1}(z)
Involving csc^{1}(z)
Involving sec^{1}(z)
Involving sinh^{1}(z)
Involving cosh^{1}(z)
Involving coth^{1}(z)
Involving csch^{1}(z)
Involving sech^{1}(z)
