q-Oscillator Algebra And d-Orthogonal Polynomials

DOI10.1080/14029251.2013.868262zbMath1421.81060OpenAlexW2323247219MaRDI QIDQ5230910

Ali Zagouhani, Fethi Bouzeffour

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2013.868262

zbMATH Keywords

coherent statesquantum algebrabasic orthogonal polynomials

Mathematics Subject Classification ID

Coherent states (81R30) Noncommutative geometry in quantum theory (81R60) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (2)

\(C_\lambda\)-extended oscillator algebra and \(d\)-orthogonal polynomials ⋮ Automorphisms of the q-deformed algebra su_q(1, 1) and d-Orthogonal polynomials of q-Meixner type

Cites Work

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• Laplace transform inversion and Padé-type approximants
• Some discrete \(d\)-orthogonal polynomial sets.
• Classical and quantum Heisenberg groups, their representations and applications
• The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
• Some generalized hypergeometric \(d\)-orthogonal polynomial sets
• Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• Algebraic q-integration and Fourier theory on quantum and braided spaces
• Sur les algèbres de Weyl

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