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ArticleOriginal scientific text

Title

Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions

Authors 1

Affiliations

  1. V.B.R.I. Polytechnic, Vidya-Bhawan Rural Institute, Udaipur, India

Abstract

We evaluate an integral involving an Hermite polynomial, a generalized hypergeometric series and Fox's H-function, and employ it to evaluate a double integral involving Hermite polynomials, generalized hypergeometric series and the H-function. We further utilize the integral to establish a Fourier-Hermite expansion and a double Fourier-Hermite expansion for products of generalized hypergeometric functions.

Bibliography

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Annales Polonici Mathematici
1991-1992/56/1
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Pages:
19-28
Main language of publication
English
Received
1989-09-10
Accepted
1990-06-01
Published
1991
Exact and natural sciences