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Math. Comput. Appl. 2004, 9(2), 309-320; doi:10.3390/mca9020309

On Sister Celine’s Polynomials of Several Variables

Department of Mathematics, Govt.Arts and Science PG College, Ratlam (MaPa)-57001, India
Published: 1 August 2004
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Abstract

The aim of the present paper is to define Sister Celine's polynomials of two and more variables. We reduce the two variables Sister Celine's polynomials into many classical orthogonal polynomials and their product also such as – Jacobi, Gegenbauer, Legendre, Laguerre, Bessel and some discrete polynomials Bateman, Pasternak, Hahn, Krawtchouk, Meixner, Poisson-Charlier & others. Many integral representations and generating function relations are also established.
Keywords: Sister Celine's polynomials; Sister celine's polynomials of two and more variables; orthogonal polynomials; generalized Lauricella function of several variables Sister Celine's polynomials; Sister celine's polynomials of two and more variables; orthogonal polynomials; generalized Lauricella function of several variables
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Shrivastava, H. On Sister Celine’s Polynomials of Several Variables. Math. Comput. Appl. 2004, 9, 309-320.

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