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
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









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





Identities

Recurrence identities

Consecutive neighbors

>
>
>
>

Consecutive neighbors (nine basic relations)

>
>
>
>
>
>
>
>
>

Distant neighbors

>
>
>
>
>
>
>
>

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

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