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.
@article{bwmeta1.element.bwnjournal-article-apmv56z1p19bwm,
author = {Sadhana Mishra},
title = {Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions},
journal = {Annales Polonici Mathematici},
volume = {55},
year = {1991},
pages = {19-28},
zbl = {0742.33006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv56z1p19bwm}
}
Sadhana Mishra. Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions. Annales Polonici Mathematici, Tome 55 (1991) pp. 19-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv56z1p19bwm/
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