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

Güldoğan Lekesiz, Esra; Aktaş, Rabia; Area Carracedo, Iván CarlosAutor UVIGO
DATE: 2022-06-10
UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/4435
EDITED VERSION: https://link.springer.com/10.1007/s41980-022-00706-y
UNESCO SUBJECT: 1201.13 Polinomios ; 12 Matemáticas
DOCUMENT TYPE: article

ABSTRACT

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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