Series representations

Generalized power series

Expansions at nu==+-n

Expansions at generic point z==z₀

For the function itself

Expansions on branch cuts

For the function itself

Expansions at z==0

For the function itself

General case

Logarithmic cases

Generic formulas for main term

Asymptotic series expansions

Expansions for any z in exponential form

Using exponential function with branch cut-containing arguments

Using exponential function with branch cut-free arguments

Expansions at nu==i infinity

Residue representations