Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials
DOI10.1007/s41980-022-00706-yOpenAlexW3120402322MaRDI QIDQ2682741
Rabia Aktaş, Esra Güldoğan Lekesiz, IvÁn Area
Publication date: 1 February 2023
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.04059
Fourier transformrecurrence relationJacobi polynomialsParseval identityhypergeometric functionHahn polynomialsmultivariate orthogonal polynomials
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)
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