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
Hypergeometric2F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities





Functional identities

Relations between contiguous functions

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

Additional relations between contiguous functions

>
>

Relations for fixed z

>
>
>

Relations of special kind

>
>
>
>

Reduction to polynomial

>
>
>
>
>
>

Division on even and odd parts and generalization

>
>
>

Major general cases

>
>
>
>
>
>
>

Relations including three Kummer's solutions

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

Quadratic transformations with fixed a,b,z

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

Quadratic transformations with fixed a,c,z

>
>
>
>
>
>
>
>

Cubic transformations

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





© 1998-2014 Wolfram Research, Inc.