Series representations

Generalized power series

Expansions at generic point nu==nu₀

For the function itself

Expansions at nu==0

For the function itself

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

Special cases

Generic formulas for main term

Expansions at z==1

For the function itself

General case

Special cases

Expansions at z==-1

For the function itself

General case

Special cases

Expansions at z==infinity

For the function itself

Expansions in 1/z

Expansions in 1/(1-z)

Generic formulas for main term

Asymptotic series expansions

Expansions at nu==infinity

Other series representations