On some indeterminate moment problems for measures on a geometric progression

DOI10.1016/S0377-0427(98)00146-0zbMath0929.44004MaRDI QIDQ1298551

Christian Berg

Publication date: 25 January 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-deformationharmonic oscillatorStieltjes-Wigert polynomialsindeterminate moment problems\(q\)-orthogonal polynomials\(q\)-Laguerre polynomials\(q\)-Hermite polynomials II

Mathematics Subject Classification ID

Moment problems (44A60) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (7)

Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices ⋮ On the \(q\)-moment determinacy of probability distributions ⋮ Size bias for one and all ⋮ Self-adjoint difference operators and classical solutions to the Stieltjes--Wigert moment problem ⋮ Generalized coherent states for \(q\)-oscillator associated with discrete \(q\)-Hermite polynomials ⋮ Orthogonality relations for Al-Salam-Carlitz polynomials of type II ⋮ The moment problem associated with the Stieltjes-Wigert polynomials

Cites Work

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• On generalized Stieltjes-Wigert and related orthogonal polynomials
• Density questions in the classical theory of moments
• The q-analogue of the Laguerre polynomials
• The \(q\)-Laguerre polynomials and related moment problems
• Ramanujan's Extensions of the Gamma and Beta Functions
• A Strong Stieltjes Moment Problem
• The Lognormal Distribution and Strong Non-Uniqueness of the Moment Problem
• A Characterization and a Class of Distribution Functions for the Stieltjes-Wigert Polynomials

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