A pair of commuting hypergeometric operators on the complex plane and bispectrality

DOI10.4171/JST/349zbMath1477.35107arXiv1812.06766MaRDI QIDQ2247199

Yuriĭ A. Neretin, Vladimir F. Molchanov

Publication date: 17 November 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06766

zbMATH Keywords

integral transformshypergeometric functionsdifference operatorsspectral decompositionbispectral problem

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Classical hypergeometric functions, ({}_2F_1) (33C05) Linear difference operators (47B39) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (8)

An analog of the Dougall formula and of the de Branges-Wilson integral ⋮ Mellin-Barnes transformation for two-loop master-diagram ⋮ Barnes-Ismagilov integrals and hypergeometric functions of the complex field ⋮ The endless beta integrals ⋮ Fourier transform on the Lobachevsky plane and operational calculus ⋮ On complex gamma-function integrals ⋮ On a ℂ²-valued integral index transform and bilateral hypergeometric series ⋮ Complex hypergeometric functions and integrable many-body problems

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