Quantum group approach to \(q\)-special functions

DOI10.1023/A:1003638915593zbMath0967.33010OpenAlexW94736778MaRDI QIDQ1585849

R. Smith

Publication date: 26 August 2001

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1003638915593

zbMATH Keywords

Casimir operator\(q\)-Bessel functionsdifferential representation\(q\)-deformed associated Legendre polynomialsEuclidean quantum algebraquantum algebra associated to \(SU(2)\)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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Dynamical analysis and encryption key-distribution application of new q-deformed reduced Lorenz system ⋮ Irreducible representation of the quantum group \(E_q(2)\)

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