Multiindex Multivariable Hermite Polynomials

HSP Shrivastava

doi:10.3390/mca7020139

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Article

1 August 2002

Multiindex Multivariable Hermite Polynomials

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

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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

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