Fourier transform of hn(x + p)hn(x − p)

Mourad E. H. Ismail; Krzystztof Stempak

doi:10.1155/S0161171297000847

International Journal of Mathematics and Mathematical Sciences (Jan 1997)

Fourier transform of hn(x + p)hn(x − p)

Mourad E. H. Ismail,
Krzystztof Stempak

Affiliations

Mourad E. H. Ismail: Department of Mathematics, University of South Florida, Tampa, FL 33620, USA
Krzystztof Stempak: Instytut Matematyczny, Polskiej Akademii Nauk, ul. Kopernika 18, Wroclaw 51-617, Poland

DOI: https://doi.org/10.1155/S0161171297000847
Journal volume & issue: Vol. 20, no. 3
pp. 613 – 615

Abstract

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We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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