Difference equation for modifications of Meixner polynomials

DOI10.1006/jmaa.1995.1297zbMath0834.39005OpenAlexW2093494852MaRDI QIDQ1900420

Francisco Marcellán, Renato Álvarez-Nodarse

Publication date: 31 March 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1297

zbMATH Keywords

hypergeometric functionsecond-order difference equationgeneralized Meixner polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (13)

Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices ⋮ On the Krall-type discrete polynomials ⋮ Ordered products, W∞-algebra, and two-variable, definite-parity, orthogonal polynomials ⋮ Discrete semiclassical orthogonal polynomials of class 2 ⋮ On the properties for modifications of classical orthogonal polynomials of discrete variables ⋮ Limit relations between generalized orthogonal polynomials ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ The modification of classical hahn polynomials of a discrete variable ⋮ Perturbations of discrete semiclassical functionals by dirac masses ⋮ Limit relations between \(q\)-Krall type orthogonal polynomials ⋮ On the Krall-type polynomials on \(q\)-quadratic lattices ⋮ Elliptic solutions of the Toda chain and a generalization of the Stieltjes-Carlitz polynomials ⋮ Second order difference equations for certain families of `discrete' polynomials

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