Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions >HypergeometricPFQ[{a1,a2},{b1,b2,b3},z]





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

Case of simple poles

>
>
>

Case of double poles

>

Expansions for any z in trigonometric form

Case of double poles

>

Residue representations

>