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 56 (1991) no. 1, pp. 19-28
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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{10_4064_ap_56_1_19_28,
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},
pages = {19--28},
publisher = {mathdoc},
volume = {56},
number = {1},
year = {1991},
doi = {10.4064/ap-56-1-19-28},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-56-1-19-28/}
}
TY - JOUR AU - Sadhana Mishra TI - Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions JO - Annales Polonici Mathematici PY - 1991 SP - 19 EP - 28 VL - 56 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-56-1-19-28/ DO - 10.4064/ap-56-1-19-28 LA - en ID - 10_4064_ap_56_1_19_28 ER -
%0 Journal Article %A Sadhana Mishra %T Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions %J Annales Polonici Mathematici %D 1991 %P 19-28 %V 56 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/ap-56-1-19-28/ %R 10.4064/ap-56-1-19-28 %G en %F 10_4064_ap_56_1_19_28
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 56 (1991) no. 1, pp. 19-28. doi: 10.4064/ap-56-1-19-28
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