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Article

Multiindex Multivariable Hermite Polynomials

by
HSP Shrivastava
Department of Mathematics, Govt. Arts and Science PG College, RATLAM (M.P.) - 457001, India
Math. Comput. Appl. 2002, 7(2), 139-149; https://doi.org/10.3390/mca7020139
Published: 1 August 2002

Abstract

In the present paper multiindex multivariable Hermite polynomials in terms of series and generating function are defined. Their basic properties, differential and pure recurrence relations, differential equations, generating function relations and expansions have been established. Few deductions are also obtained.
Keywords: Multiindex multivariable Hermite polynomials; orthogonal polynomials; Lauricella function of several variables; hypergeometric function of several variables Multiindex multivariable Hermite polynomials; orthogonal polynomials; Lauricella function of several variables; hypergeometric function of several variables

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MDPI and ACS Style

Shrivastava, H. Multiindex Multivariable Hermite Polynomials. Math. Comput. Appl. 2002, 7, 139-149. https://doi.org/10.3390/mca7020139

AMA Style

Shrivastava H. Multiindex Multivariable Hermite Polynomials. Mathematical and Computational Applications. 2002; 7(2):139-149. https://doi.org/10.3390/mca7020139

Chicago/Turabian Style

Shrivastava, HSP. 2002. "Multiindex Multivariable Hermite Polynomials" Mathematical and Computational Applications 7, no. 2: 139-149. https://doi.org/10.3390/mca7020139

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