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

Lekesiz, Esra Guldogan; Aktas, Rabia; Area, Ivan

doi:10.1007/s41980-022-00706-y

Published January 1, 2022 | Version v1

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

1. Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
2. Univ Vigo, Dept Matemat Aplicada EE Aeronaut & Espazo 2, CITMAga, Campus As Lagoas Ourense, Orense 32004, Spain

In 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.

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July 29, 2023

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BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 48(6), 3535-3560, 2022.

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

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

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