On Jacobi Polynomials Of Several Variables

The aim of the present paper is to define the Jacobi polynomial of two variables, three variables and m-variables. Their integral representations, generating functions are obtained. Sokme relationships are established and finally Ultraspherical polynomials, Gegenbauer polynomials, Legendre's po...

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Bibliographic Details
Published in:	Integral transforms and special functions Vol. 10; no. 1; pp. 61 - 70
Main Author:	Shrivastava, H.S.P.
Format:	Journal Article
Language:	English
Published:	Gordon and Breach Science Publishers 01.08.2000
Subjects:	Appell Horn and Lauricella functions hypergeometric functions and integrals in several variables Orthogonal polynomials and functions in several variables
ISSN:	1065-2469, 1476-8291
Online Access:	Get full text
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Summary:	The aim of the present paper is to define the Jacobi polynomial of two variables, three variables and m-variables. Their integral representations, generating functions are obtained. Sokme relationships are established and finally Ultraspherical polynomials, Gegenbauer polynomials, Legendre's polynomials and chebyshev polynomials of m-variables are also defined as a particular cases
ISSN:	1065-2469 1476-8291
DOI:	10.1080/10652460008819272