\(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory

DOI10.1016/0377-0427(95)00253-7zbMath0872.33010OpenAlexW2044831820MaRDI QIDQ1919442

Roberto Floreanini, Luc Vinet

Publication date: 21 September 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00253-7

zbMATH Keywords

Hopf algebrasquantum algebras\(q\)-beta function\(q\)-gamma functionaddition formulaslinear transformations of oriented line

Mathematics Subject Classification ID

Related Items (15)

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Cites Work

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• 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
• Addition formulas for q-Bessel functions
• Models of q-algebra representations: Tensor products of special unitary and oscillator algebras
• Models of q-algebra representations: Matrix elements of the q-oscillator algebra
• Models ofQ-Algebra Representations: The Group of Plane Motions
• Models of q-algebra representations: q-integral transforms and ‘‘addition theorems’’
• A quantum algebra approach to basic multivariable special functions

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