Fourier transform of hn(x + p)hn(x − p)
We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Main Authors: | Mourad E. H. Ismail, Krzystztof Stempak |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1997-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171297000847 |
Similar Items
-
Some relations satisfied by Hermite-Hermite matrix polynomials
by: Ayman Shehata, et al.
Published: (2017-07-01) -
An Estimate of the Root Mean Square Error Incurred When Approximating an f ∈ L2(ℝ) by a Partial Sum of Its Hermite Series
by: Mei Ling Huang, et al.
Published: (2018-04-01) -
New Discrete Lifetime Distribution with Applications to Count Data
by: Beih S. El-Desouky, et al.
Published: (2021-02-01) -
Hermite Functions and Fourier Series
by: Enrico Celeghini, et al.
Published: (2021-05-01) -
Riesz Transforms Associated With Heisenberg Groups And Grushin Operators
by: Sanjay, P K
Published: (2015)