The quantum group of plane motions and basic Bessel functions

DOI10.1016/0019-3577(95)91243-OzbMath0833.17011OpenAlexW2083027520MaRDI QIDQ1897544

H. T. Koelink

Publication date: 12 March 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(95)91243-o

zbMATH Keywords

eigenvectorsselfadjoint operatorirreducible representationscomultiplicationHansen-Lommel orthogonality\(q\)-analogue of Graf's addition theoremgeneralized matrix elementsJackson's \(q\)-Bessel functionsquantum group of plane motionsrelative bi- invariance

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function, The quantum group of plane motions and basic Bessel functions, Yet another basic analogue of Graf's addition formula, Some basic Lommel polynomials

Cites Work

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