Some formule involving Hermite polynomial, confluent hypergeometric function and Meijer's G-function

Shri Dhar Bajpai

Published: 1992-09-30

Vol. 6 (1992)

Some formule involving Hermite polynomial, confluent hypergeometric function and Meijer's G-function

Shri Dhar Bajpai

Abstract

In this paper, we evaluate two integrals involving Hermite polynomial and confluent hypergeometric function, and employ one of them to evaluate an integral involving Meijer's G-function. We use the integral involving Meijer's G-function to evaluate a double integral involving Meijer's G-function. We further employ the integral involving Meijer's G-function to establish one one-dimensional Fourier-Hermite expansion and one two-dimensional Fourier-Hermite expansion. We also obtain a solution of a heat conduction problem.

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Bajpai, S. D. (1992). Some formule involving Hermite polynomial, confluent hypergeometric function and Meijer’s G-function. Annales Mathematicae Silesianae, 6, 13–20. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14262

Vol. 6 (1992)
Published: 1992-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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