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Non-polynomial \(q\)-Askey scheme: integral representations, eigenfunction properties, and polynomial limits

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Publication:6648711
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DOI10.1007/s00365-024-09682-4MaRDI QIDQ6648711

Jonatan Lenells, Julien Roussillon

Publication date: 5 December 2024

Published in: Constructive Approximation (Search for Journal in Brave)



zbMATH Keywords

conformal field theoryorthogonal polynomialquantum dilogarithm\(q\)-Askey schemeconfluent limitRuijsenaars' hypergeometric functionVirasoro fusion kernel


Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Other functions defined by series and integrals (33E20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05) Higher logarithm functions (33B30) Other basic hypergeometric functions and integrals in several variables (33D70)








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