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arXiv:2101.04059 [math.CA]AbstractReferencesReviewsResources

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

Published 2020-12-26Version 1

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.

Comments: 24 pages
Categories: math.CA
Subjects: 33C50, 33C45
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