A study of two variables Legendre polynomials

Authors

  • Mumtaz Ahmad Khan Aligarh Muslim University
  • Mukesh Pal Singh Aligarh Muslim University

Keywords:

two variables legendre polynomials, integral representations, generating functions, recurrence relations

Abstract

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).

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Published

2010-09-07

How to Cite

Khan, M. A., & Singh, M. P. (2010). A study of two variables Legendre polynomials. Pro Mathematica, 24(47-48), 201–223. Retrieved from https://revistas.pucp.edu.pe/index.php/promathematica/article/view/10280

Issue

Vol. 24 No. 47-48 (2010)

Section

Artículos

License

Copyright (c) 2016 Pro Mathematica

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.