Automorphisms of the q-deformed algebra suq(1, 1) and d-Orthogonal polynomials of q-Meixner type

DOI10.1080/14029251.2016.1135625zbMath1420.33002OpenAlexW2226246028MaRDI QIDQ5231010

Ali Zaghouani

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/10.1080/14029251.2016.1135625

zbMATH Keywords

\(q\)-hypergeometric functions\(q\)-coherent states\(d\)-orthogonal polynomials\(q\)-Meixner polynomials\(q\)-deformed algebra \(su_q(1,1)\)linear functional vector

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

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• \(d\)-orthogonal polynomials and \(\mathfrak {su}(2)\)
• \(d\)-orthogonality via generating functions
• Laplace transform inversion and Padé-type approximants
• Multiple orthogonal polynomials
• The quantum \(q\)-Krawtchouk and \(q\)-Meixner polynomials and their related \(D\)-functions for the quantum groups \(SU_{q}\)(2) and \(SU_{q}\)(1,1).
• Some discrete multiple orthogonal polynomials
• Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials
• Bigq-Laguerre andq-Meixner polynomials and representations of the quantum algebraU_q(su_1,1)
• The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states
• q-Oscillator Algebra And d-Orthogonal Polynomials
• d-Orthogonality of some basic hypergeometric polynomials
• Some classical multiple orthogonal polynomials

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