Non-polynomial \(q\)-Askey scheme: integral representations, eigenfunction properties, and polynomial limits
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)
conformal field theoryorthogonal polynomialquantum dilogarithm\(q\)-Askey schemeconfluent limitRuijsenaars' hypergeometric functionVirasoro fusion kernel
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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