Deformed Heisenberg algebra with reflection\newline and $d$-orthogonal polynomials

DOI10.21136/CMJ.2017.0358-15zbMath1424.33022MaRDI QIDQ5270955

Hanen Ben Mansour, Fethi Bouzeffour, Ali Zaghouani

Publication date: 3 July 2017

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/146040

zbMATH Keywords

hypergeometric functionMeixner polynomialscoherent state\(d\)-orthogonal polynomialsmatrix element\(d\)-dimensional 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)

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\(C_\lambda\)-extended oscillator algebra and \(d\)-orthogonal polynomials

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