On the relation between Gegenbauer polynomials and the Ferrers function of the first kind
DOI10.1007/S10476-022-0123-0OpenAlexW3190420858MaRDI QIDQ2166134
Howard S. Cohl, Roberto S. Costas-Santos
Publication date: 23 August 2022
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.03276
Poisson kernelorthogonality relationGegenbauer polynomialorthogonal polynomialclosure relationChristoffel-Darboux summationFerrers function
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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral transforms of special functions (44A20) Classical hypergeometric functions, ({}_2F_1) (33C05)
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Cites Work
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