The indeterminate moment problem for the \(q\)-Meixner polynomials

DOI10.1016/j.jat.2010.07.001zbMath1236.33034arXiv0911.0205OpenAlexW2046291464MaRDI QIDQ2275483

H. T. Koelink, W. G. M. Groenevelt

Publication date: 9 August 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0205

zbMATH Keywords

\(q-\)Meixner polynomialsundeterminate moment problem

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (6)

Coupling coefficients for tensor product representations of quantum SU(2) ⋮ A quantization of the harmonic analysis on the infinite-dimensional unitary group ⋮ Determinantal measures related to big \(q\)-Jacobi polynomials ⋮ Macdonald-level extension of beta ensembles and large-\(N\) limit transition ⋮ Elements of the q-Askey scheme in the algebra of symmetric functions ⋮ Orthogonality relations for Al-Salam-Carlitz polynomials of type II

Cites Work

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• The vector-valued big \(q\)-Jacobi transform
• Self-adjoint difference operators and symmetric Al-Salam-Chihara polynomials
• The early history of the moment problem
• \(q\)-Laguerre polynomials and big \(q\)-Bessel functions and their orthogonality relations
• The big \(q\)-Jacobi function transform
• Self-adjoint difference operators and classical solutions to the Stieltjes--Wigert moment problem
• The Dual Quantum Group for the Quantum Group Analog of the Normalizer of SU(1, 1) in

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