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arXiv:2206.13893 [math.CA]AbstractReferencesReviewsResources

A class of special functions using Fourier transforms of orthogonal polynomials on the unit ball

Esra Güldoğan Lekesiz, Rabia Aktaş

Published 2022-06-28Version 1

The aim of this paper is to obtain Fourier transform of multivariate orthogonal polynomials on the unit ball and to define a new family of multivariate orthogonal functions by using the Parseval's identity. Furthermore, we present the obtained results in terms of the continuous Hahn polynomials.

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