Polynomial sequences associated with the moments of hypergeometric weights

DOI10.3842/SIGMA.2016.044zbMath1338.44009arXiv1511.06057OpenAlexW2342782706MaRDI QIDQ288689

Diego Ernesto Dominici

Publication date: 27 May 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06057

zbMATH Keywords

momentsStieltjes transformgenerating functionshypergeometric functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Moment problems (44A60) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (9)

Recurrence relations for the moments of discrete semiclassical orthogonal polynomials ⋮ Discrete semiclassical orthogonal polynomials of class 2 ⋮ Laguerre-Freud equations for Generalized Hahn polynomials of type I ⋮ Hankel determinants, Hahn polynomials, and a formula of Krattenthaler ⋮ Power series expansion of a Hankel determinant ⋮ Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials ⋮ Moments of orthogonal polynomials and exponential generating functions ⋮ Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis ⋮ Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations

Cites Work

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• Zero distribution of polynomials satisfying a differential-difference equation
• Recurrence coefficients of generalized Meixner polynomials and Painlevé equations
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• Mehler-Heine type formulas for Charlier and Meixner polynomials
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