On the quantum group and quantum algebra approach to \(q\)-special functions
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Publication:2366253
DOI10.1007/BF00739576zbMath0780.33012OpenAlexW2010640068MaRDI QIDQ2366253
Publication date: 29 June 1993
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00739576
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)
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Cites Work
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- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Compact matrix pseudogroups
- Poisson manifolds and the Schouten bracket
- Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
- Quantum algebras and \(q\)-special functions
- \(q\)-orthogonal polynomials and the oscillator quantum group
- Lie theory and special functions
- Canonical Equations and Symmetry Techniques forq-Series
- The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
- The metaplectic representation of suq(1,1) and the q-Gegenbauer polynomials
- An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
- Addition formulas for q-Bessel functions
- Models of q-algebra representations: Tensor products of special unitary and oscillator algebras
- Lie Theory and q-Difference Equations
