Some formule involving Hermite polynomial, confluent hypergeometric function and Meijer's G-function
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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Department of Mathematics, University of Bahrain Bahrain
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