A study of two variables Legendre polynomials

Description

The present paper deals with a study of a two variable polynomial Pn(x) analogues to the Legendre polynomial Pn(x). The paper contains differential recurrence relations, a partial differential equation, double generating functions, double and triple hypergeometric forms, a special property and a bilinear double generating function for the newly defined polynomials Pn,k(x, y).

Links & Downloads

1. http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10280/10725
2. http://repositorio.pucp.edu.pe/index/handle/123456789/96205

Tags

Two Variables Legendre Polynomials

Integral Representations

Generating Functions

Recurrence Relations

Additional Fields

Identifer	oai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/96205
Date	25 September 2017
Creators	Khan, Mumtaz Ahmad, Singh, Mukesh Pal
Publisher	Pontificia Universidad Católica del Perú
Source Sets	Pontificia Universidad Católica del Perú
Language	Español
Detected Language	English
Type	Artículo
Format	PDF
Source	Pro Mathematica; Vol. 24, Núm. 47-48 (2010); 201-223
Rights	Artículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/