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
ChebyshevU






Mathematica Notation

Traditional Notation









Hypergeometric Functions >ChebyshevU[nu,z]





Series representations

Generalized power series

Expansions at generic point nu==nu0

For the function itself

>
>
>
>
>
>

Expansions at nu==0

For the function itself

>
>
>
>
>
>

Expansions at generic point z==z0

For the function itself

>
>
>
>

Expansions on branch cuts

For the function itself

>
>
>
>

Expansions at z==0

For the function itself

General case

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

Special cases

>
>

Generic formulas for main term

>

Expansions at z==1

For the function itself

General case

>
>
>
>
>
>
>
>
>
>

Special cases

>

Expansions at z==-1

For the function itself

General case

>
>
>
>
>
>
>
>
>

Special cases

>
>

Expansions at z==infinity

For the function itself

Expansions in 1/z

>
>
>
>
>
>
>
>
>
>

Expansions in 1/(1-z)

>
>
>
>
>
>
>
>
>
>

Generic formulas for main term

>

Asymptotic series expansions

Expansions at nu==infinity

>

Other series representations

>





© 1998-2014 Wolfram Research, Inc.