Fourier Transforms of Some Special Functions in Terms of Orthogonal Polynomials on the Simplex and Continuous Hahn Polynomials-Reference-Cited by-同舟云学术

Fourier Transforms of Some Special Functions in Terms of Orthogonal Polynomials on the Simplex and Continuous Hahn Polynomials

Published:2022-06-10 Issue:6 Volume:48 Page:3535-3560
ISSN:1017-060X
Container-title:Bulletin of the Iranian Mathematical Society
language:en
Short-container-title:Bull. Iran. Math. Soc.

Author:

Güldoğan Lekesiz Esra,Aktaş Rabia,Area Iván^ORCID

Abstract

AbstractIn this paper, Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained using the Parseval’s identity and several recurrence relations are derived.

Funder

Agencia Estatal de Investigación

TUBITAK

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s41980-022-00706-y.pdf

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