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
LegendreP






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreP[nu,mu,2,z] > Series representations





Generalized power series

Expansions at generic point z==z0

For the function itself

>
>
>
>

Expansions on branch cuts

For the function itself

Expansion at a point at the right half-plane branch cut

>
>
>
>
>

Expansion at a point at the left half-plane branch cut

>
>
>
>

Expansions at z==0

>
>
>
>
>
>

Expansions at z==1

>
>
>
>
>
>
>
>
>

Expansions at z==-1

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

Expansions at z==infinity

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