A q-deformed e(4) and continuous q-Jacobi polynomials

DOI10.1063/1.531621zbMath0870.17009OpenAlexW1984835370MaRDI QIDQ5284848

Luc Vinet, Jean LeTourneux, Roberto Floreanini

Publication date: 18 September 1997

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

Full work available at URL: https://doi.org/10.1063/1.531621

zbMATH Keywords

\(q\)-Jacobi polynomials\(q\)-deformation of Euclidean algebra \(e(4)\)

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)

Cites Work

• Symmetry techniques for q-series: Askey-Wilson polynomials
• Diagonalization of certain integral operators
• Quantum algebras and \(q\)-special functions
• \(q\)-orthogonal polynomials and the oscillator quantum group
• Generalized q-Bessel functions
• Addition formulas for q-Bessel functions
• More on the q-oscillator algebra and q-orthogonal polynomials
• Quantum symmetries of q-difference equations
• An algebraic interpretation of the continuous big q-Hermite polynomials
• A model for the continuous q-ultraspherical polynomials
• A quantum algebra approach to basic multivariable special functions

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