Series representations

Generalized power series

Expansions at generic point z==z₀

For the function itself

Expansions on branch cuts

For the function itself

In the left half-plane

In the right half-plane

Expansions at z==0

For the function itself

General case

Generic formulas for main term

Expansions at z==1

For the function itself

General case

Logarithmic cases

Generic formulas for main term

Expansions at z==infinity

General case

Logarithmic cases

Generic formulas for main term

Expansions at generic point a==a₀

For the function itself

Expansions at generic point b==b₀

For the function itself

Residue representations