Involving one direct function and elementary functions

Involving power function

Involving power

Power arguments and base a

Power arguments and base e

Involving z^alpha-1, arguments b z and base a

Involving z^alpha-1and arguments a z

Involving z^alpha-1, arguments b z+d and base a

Involving z^alpha-1and arguments a z+b

Involving z^alpha-1, arguments b z^r and base a

Involving z^alpha-1and arguments a z^r

Involving z^alpha-1, arguments b z^r+d and base a

Involving z^alpha-1and arguments a z^r+b

Involving rational functions

Involving (a z+b)^-n

Involving (a z²+b)^-n

Involving (a z²+b z+c)^-n

Involving algebraic functions

Involving (a z+b)^beta

Arguments involving polynomials

Involving a z²+b z+c

Involving a z²+b z

Involving a z²+c

Arguments involving rational functions

Involving a z²+b/z²

Involving a z²+b/z²+c

Arguments involving algebraic functions

Involving a z+b z^1/2+c

Involving a z+b z^1/2

Involving a z^r+c

Arguments involving exponential functions

Arguments involving trigonometric functions

Involving tan

Involving cot

Arguments involving hyperbolic functions

Involving tanh

Involving coth

Arguments involving inverse trigonometric functions

Involving sin^-1

Involving cos^-1

Involving tan^-1

Involving cot^-1

Involving csc^-1

Involving sec^-1

Arguments involving inverse hyperbolic functions

Involving sinh^-1

Involving cosh^-1

Involving tanh^-1

Involving coth^-1

Involving csch^-1

Involving sech^-1

Arguments involving polynomials or algebraic functions and power factors

Involving power

Involving zⁿd^{a z2+b z}

Involving zⁿ d^{a zr+b z+c}

Involving z^alpha-1 d^{a zr+c}

Arguments involving rational functions and power factors

Involving power

Involving z²ⁿ d^{a z2+b/z2}

Involving z²ⁿ d^{a z2+b/z2+c}