Symmetry techniques for the Al-Salam - Chihara polynomials

DOI10.1088/0305-4470/30/9/021zbMath0923.33011OpenAlexW2015379084MaRDI QIDQ4232185

Luc Vinet, Jean LeTourneux, Roberto Floreanini

Publication date: 9 May 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/9/021

zbMATH Keywords

orthogonal polynomialsrepresentationsdifference operatorsbasic hypergeometric series

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (5)

Befriending Askey–Wilson polynomials ⋮ Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ Towards a \(q\)-analogue of the Kibble-Slepian formula in 3 dimensions ⋮ ON SUMMABLE, POSITIVE POISSON–MEHLER KERNELS BUILT OF AL-SALAM–CHIHARA AND RELATED POLYNOMIALS ⋮ PROBABILISTIC IMPLICATIONS OF SYMMETRIES OF q-HERMITE AND AL-SALAM–CHIHARA POLYNOMIALS

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