Quantum algebra approach to \(q\)-Gegenbauer polynomials

DOI10.1016/0377-0427(93)E0239-IzbMath0829.33011MaRDI QIDQ1893574

Roberto Floreanini, Luc Vinet

Publication date: 24 January 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-hypergeometric series

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (1)

Scalar product for the tensor operators of the quantum algebra Ŭ_q(su₂) by the Wigner–Eckart theorem

Cites Work

• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• 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
• On the quantum group and quantum algebra approach to \(q\)-special functions
• Lie theory and special functions
• Generalized q-Bessel functions
• Canonical Equations and Symmetry Techniques forq-Series
• The metaplectic representation of suq(1,1) and the q-Gegenbauer polynomials
• Addition formulas for q-Bessel functions
• Models of q-algebra representations: Tensor products of special unitary and oscillator algebras
• Models ofQ-Algebra Representations: The Group of Plane Motions
• Lie Theory and q-Difference Equations
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