Series representations

Generalized power series

Expansions at generic point z==z₀

For the function itself

Expansions at z==0

For the function itself

General case

Expansions at z==infinity for polynomial cases

Asymptotic series expansions

Expansions for |Arg(z)|

The general formulas

Expansions for any z in exponential form

Expansions for any z in trigonometric form

Residue representations