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arXiv · 2101.04059

Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials

Esra Güldoğan-Lekesiz·Rabia Aktaş·Iván Area
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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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Esra Güldoğan-Lekesiz, Rabia Aktaş, Iván Area. 2020-12-26. Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials. https://arxiv.org/abs/2101.04059

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