Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site ContributeEmail CommentsSign the Guestbook

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,...,ap},{b1,...,bq},z]





Specific values

Specialized values

Case pFqwith z==0

>

Case pFqwith fixed a1, ..., ap

>
>
>
>
>
>
>
>
>
>

Case pFqwith fixed z

>

Case q+1Fq

>
>
>
>
>
>
>
>
>
>
>

Case q+1Fqat z==1

>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>

Case q+1Fqat z==-1

>
>
>
>
>
>
>
>
>
>
>
>
>

Case qFq

>
>
>
>
>
>
>

Case 0Fq

>

Case 1Fq

>

Case 0F0

>

Case 1F0

>

Case 0F1

Case 2F0

>
>
>
>
>

Case 1F1

Case 0F2

>
>
>

Case 3F0

>

Case 2F1

Case 1F2

>
>
>
>
>
>

Case 0F3

>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>

Case 2F2

>

Case 0F4

>

Case 4F1

>
>
>
>
>

Case 3F2

>
>
>
>

Case 2F3

>
>

Case 1F4

>

Case 3F3

>
>
>

Case 4F3

>

Case 5F4

Case 6F5

Case 7F6

>
>
>
>
>
>
>
>
>
>
>
>
>

Case 8F7

>
>

Case 9F8

>
>
>

Case 3F8

>





© 1998-2014 Wolfram Research, Inc.