Fourier Transforms of Some Finite Bivariate Orthogonal Polynomials-Reference-Cited by-同舟云学术

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Fourier Transforms of Some Finite Bivariate Orthogonal Polynomials

Published:2021-03-10 Issue:3 Volume:13 Page:452
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Güldoğan Lekesiz Esra^ORCID,Aktaş Rabia^ORCID,Masjed-Jamei Mohammad^ORCID

Abstract

In this paper, we first obtain the Fourier transforms of some finite bivariate orthogonal polynomials and then by using the Parseval identity, we introduce some new families of bivariate orthogonal functions.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/13/3/452/pdf

Reference32 articles.

1. Integral Transforms and Their Applications;Davies,2002

2. Integral Transforms and Their Applications;Debnath,2014

3. Integral Transforms in Mathematical Physics;Tranter,1971

4. The Hypergeometric Approach to Integral Transforms and Convolutions;Yakubovich,1994

5. Applications of Fourier Transform to Imaging Analysis;Wang;J. R. Stat. Soc.,2007

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fourier transform of biorthogonal polynomials in one variable*;Integral Transforms and Special Functions;2024-09-08

2. Some New Families of Finite Orthogonal Polynomials in Two Variables;Axioms;2023-09-29

3. Fourier Transform of the Orthogonal Polynomials on the Unit Ball and Continuous Hahn Polynomials;Axioms;2022-10-14

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