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A study of two variables Legendre polynomials

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).

Identiferoai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/96205
Date25 September 2017
CreatorsKhan, Mumtaz Ahmad, Singh, Mukesh Pal
PublisherPontificia Universidad Católica del Perú
Source SetsPontificia Universidad Católica del Perú
LanguageEspañol
Detected LanguageEnglish
TypeArtículo
FormatPDF
SourcePro Mathematica; Vol. 24, Núm. 47-48 (2010); 201-223
RightsArtículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/

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