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 near the origin

In the left half-plane

In the right half-plane

Expansions at z==0

For the function itself

For small integer powers of the function

For the second power

Expansions at z==1

For the function itself

For small integer powers of the function

For the second power

Expansions at z==-1

For the function itself

In the upper half-plane

In the lower half-plane

In the whole plane

For small integer powers of the function

For the second power

Expansions at z==infinity

For the function itself

In the upper half-plane

In the lower half-plane

In the whole plane

For small integer powers of the function

For the second power

Residue representations