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Generalized q-Bessel functions

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Publication:2722696
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DOI10.1139/P94-051zbMath1043.33500OpenAlexW2030185201MaRDI QIDQ2722696

Luc Vinet, Roberto Floreanini

Publication date: 2 July 2001

Published in: Canadian Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1139/p94-051


zbMATH Keywords

modified \(q\)-Bessel functionsbiorthogonal relationsextension of the two-dimensional Euclidean algebra \(E(2)\)


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Other basic hypergeometric functions and integrals in several variables (33D70)


Related Items (6)

A q-deformed e(4) and continuous q-Jacobi polynomials ⋮ Quantum algebra approach to \(q\)-Gegenbauer polynomials ⋮ \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory ⋮ On complete monotonicity of certain special functions ⋮ Quantum symmetries of q-difference equations ⋮ A model for the continuous q-ultraspherical polynomials







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