Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials
DOI10.1080/10652469.2019.1700411zbMath1454.33013OpenAlexW3000557044MaRDI QIDQ5113858
Esra Güldoğan, Rabia Aktaş, IvÁn Area
Publication date: 18 June 2020
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2019.1700411
Fourier transformhypergeometric functionsrecurrence relationJacobi polynomialsParseval identityLaguerre polynomialsbivariate orthogonal functions
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) 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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