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.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000847 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549014959030272 |
|---|---|
| author | Mourad E. H. Ismail Krzystztof Stempak |
| author_facet | Mourad E. H. Ismail Krzystztof Stempak |
| author_sort | Mourad E. H. Ismail |
| collection | DOAJ |
| description | We evaluate Fourier transform of a function with Hermite polynomials involved.
An elementary proof is based on a combinatorial formula for Hermite polynomials. |
| format | Article |
| id | doaj-art-2ce56ec418ea45a4b6948daeb770b7e7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2ce56ec418ea45a4b6948daeb770b7e72025-02-03T06:12:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120361361510.1155/S0161171297000847Fourier transform of hn(x + p)hn(x − p)Mourad E. H. Ismail0Krzystztof Stempak1Department of Mathematics, University of South Florida, Tampa, FL 33620, USAInstytut Matematyczny, Polskiej Akademii Nauk, ul. Kopernika 18, Wroclaw 51-617, PolandWe evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.http://dx.doi.org/10.1155/S0161171297000847Fourier transformHermite polynomialsHermite functions. |
| spellingShingle | Mourad E. H. Ismail Krzystztof Stempak Fourier transform of hn(x + p)hn(x − p) International Journal of Mathematics and Mathematical Sciences Fourier transform Hermite polynomials Hermite functions. |
| title | Fourier transform of hn(x + p)hn(x − p) |
| title_full | Fourier transform of hn(x + p)hn(x − p) |
| title_fullStr | Fourier transform of hn(x + p)hn(x − p) |
| title_full_unstemmed | Fourier transform of hn(x + p)hn(x − p) |
| title_short | Fourier transform of hn(x + p)hn(x − p) |
| title_sort | fourier transform of hn x p hn x p |
| topic | Fourier transform Hermite polynomials Hermite functions. |
| url | http://dx.doi.org/10.1155/S0161171297000847 |
| work_keys_str_mv | AT mouradehismail fouriertransformofhnxphnxp AT krzystztofstempak fouriertransformofhnxphnxp |