Series representations
Generalized power series
Expansions at generic point z==z_{0}
For the function itself
Expansions on branch cuts  Expansions on branch cuts
For the function itself
For the function itself
Expansions at z==0
Case of simple poles
Case of poles of order r in the points b_{r}k/;r ∈ {1,2,3,4} && k ∈ N
Expansions at z==(1)^{m+nq} for p==q
The general formula for arbitrary z
The general formula for psi_{q} ∉ Z in the particular case z>1
The major terms in the general formulas for expansions of function p==q at z==(1)^{m+nq}
Expansions at z==infinity
Case of simple poles
Case of poles of order r in the points a_{r}+k/;r ∈ {1,2,3,4} && k ∈ N^{+}
Asymptotic series expansions at z==0 for q<p
Expansions for p==q+1
Expansions for p==q+2
Expansions for p>q+2
Asymptotic series expansions at z==infinity for q>p
Expansions for q==p+1
Expansions for q==p+2
Expansions for q>p+2
General formulas of asymptotic series expansions
Main terms of asymptotic expansions
Expansions at z==0
Expansions at z==(1)^{m+nq} for p==q
Expansions at z==infinity
Residue representations
