The moment problem associated with the \(q\)-Laguerre polynomials
From MaRDI portal
Publication:1864177
DOI10.1007/s00365-001-0017-5zbMath1018.44008OpenAlexW2093871154MaRDI QIDQ1864177
Publication date: 17 March 2003
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-001-0017-5
Stieltjes-Wigert polynomialsindeterminate moment problems\(q\)-Laguerre polynomialsPick functionsNevanlinna parametrizationcontinuous singular solutionsindeterminate Stielties moment problem
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Related Items
A \(q\)-analogue of the weighted Bergman space on the disk and associated second \(q\)-Bargmann transform ⋮ Structure of Stieltjes classes of moment-equivalent probability laws ⋮ Generalized q-Laguerre type polynomials and q-partial differential equations ⋮ A note on q-difference equations for Cigler’s polynomials ⋮ Integral and series representations of q-polynomials and functions: Part I ⋮ On the \(q\)-moment determinacy of probability distributions ⋮ On the complex zeros of some families of orthogonal polynomials ⋮ A family of heat functions as solutions of indeterminate moment problems ⋮ Self-adjoint difference operators and classical solutions to the Stieltjes--Wigert moment problem ⋮ Some integrals involving \(q\)-Laguerre polynomials and applications ⋮ Solutions of the Al-Salam–Chihara and allied moment problems ⋮ Characterization of solutions to the Stieltjes-Wigert moment problem ⋮ Heine process as a q-analog of the Poisson process—waiting and interarrival times ⋮ q-Laguerre polynomials and related q-partial differential equations ⋮ q-Difference equations for the generalized Cigler’s polynomials ⋮ Variations of Stieltjes-Wigert and \(q\)-Laguerre polynomials and their recurrence coefficients ⋮ Schur expansion of random-matrix reproducing kernels
This page was built for publication: The moment problem associated with the \(q\)-Laguerre polynomials