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

Authors

Mourad E. H. Ismail, University of South Florida
Krzystztof Stempak, Polskiej Akademii Nauk

Document Type

Article

Publication Date

1997

Digital Object Identifier (DOI)

https://doi.org/10.1155/S0161171297000847

Abstract

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

Rights Information

This work is licensed under a Creative Commons Attribution 3.0 License.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

International Journal of Mathematics and Mathematical Sciences, v. 20, art. 468057

Scholar Commons Citation

Ismail, Mourad E. H. and Stempak, Krzystztof, "Fourier transform of h_n(x + p)h_n(x − p)" (1997). Mathematics and Statistics Faculty Publications. 53.
https://digitalcommons.usf.edu/mth_facpub/53