Beta-integrals and finite orthogonal systems of Wilson polynomials

DOI10.1070/SM2002v193n07ABEH000670zbMath1052.33008arXivmath/0206199OpenAlexW1984956857MaRDI QIDQ4454917

Yuriĭ A. Neretin

Publication date: 8 March 2004

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206199

zbMATH Keywords

Gauss functionindex hypergeometric transformWilson polynomialsDougall formula

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Integral transforms of special functions (44A20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (13)

Markov processes on the duals to infinite-dimensional classical Lie groups ⋮ An analog of the Dougall formula and of the de Branges-Wilson integral ⋮ Multivariate Jacobi polynomials and the Selberg integral ⋮ Some continuous analogs of the expansion in Jacobi polynomials and vector-valued orthogonal bases ⋮ A sampling theorem related to the Wilson transform ⋮ Von Neumann algebras in JT gravity ⋮ Barnes-Ismagilov integrals and hypergeometric functions of the complex field ⋮ Branching laws for minimal holomorphic representations ⋮ A pair of commuting hypergeometric operators on the complex plane and bispectrality ⋮ Random partitions and the gamma kernel ⋮ BC type \(z\)-measures and determinantal point processes ⋮ Moments of random matrices and hypergeometric orthogonal polynomials ⋮ On a ℂ²-valued integral index transform and bilateral hypergeometric series

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