Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials
Classical Analysis and ODEs
2021-01-12 v1
Abstract
In this paper Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained by using the Parseval's identity and several recurrence relations are derived.
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Cite
@article{arxiv.2101.04059,
title = {Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials},
author = {Esra Güldoğan-Lekesiz and Rabia Aktaş and Iván Area},
journal= {arXiv preprint arXiv:2101.04059},
year = {2021}
}
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24 pages