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 bil...

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Autor Principal: Khan, Mumtaz Ahmad
Otros Autores: Singh, Mukesh Pal
Formato: Artículo
Idioma: spa
Publicado: Pontificia Universidad Católica del Perú 2014
Materias:
Acceso en línea: http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10280/10725
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Sumario: 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).