Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton \(q\)-Bessel function

DOI10.1007/BF01208433zbMath0855.33011arXivmath/9502227OpenAlexW1519462899MaRDI QIDQ1909583

Walter Van Assche, H. T. Koelink

Publication date: 22 January 1997

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9502227

zbMATH Keywords

Lommel polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

Compact Jacobi matrices: From Stieltjes to Krein and \(M(a,b)\), The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case, A variation of the Lq,p‐uncertainty inequalities of Heisenberg‐type for symmetric q‐integral transforms, Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid, On complete monotonicity of certain special functions, Quadratic relations between Bessel moments, Multiresolution wavelet analysis of integer scale Bessel functions, Orthogonal polynomials associated with Coulomb wave functions, The Hahn-Exton \(q\)-Bessel function as the characteristic function of a Jacobi matrix, A birth and death process related to the Rogers-Ramanujan continued fraction, Some basic Lommel polynomials, The Hilbert \(L\)-matrix, Positivity of the generalized translation associated with theq-Hankel transform and applications, Orthogonal Laurent polynomials and strong moment theory: A survey

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