Difference equation for associated polynomials on a linear lattice

DOI10.1007/BF02070763zbMath0887.39001OpenAlexW2016378079MaRDI QIDQ1379218

Natig M. Atakishiyev, Kurt Bernardo Wolf, André Ronveaux

Publication date: 1 March 1998

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02070763

zbMATH Keywords

orthogonal polynomialspolynomialsdifference equationsKravchuk polynomialsMeixner polynomialsthree-term recurrence relationCharlier polynomialsHahn polynomialslinear lattice

Mathematics Subject Classification ID

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

Related Items (12)

On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions ⋮ On the fourth-order difference equation for the associated Meixner polynomials ⋮ Fourth-order difference equation for the associated Meixner and Charlier polynomials ⋮ Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials ⋮ Hypergeometric-type differential equations: second kind solutions and related integrals. ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class ⋮ Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials ⋮ Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Fourth-order difference equation for the associated classical discrete orthogonal polynomials ⋮ On the linearization problem involving Pochhammer symbols and their \(q\)-analogues ⋮ Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials

Cites Work

• Co-recursive orthogonal polynomials and fourth-order differential equation
• On co-recursive orthogonal polynomials and their application to potential scattering
• Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials
• Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros
• Fourth-order differential equations for numerator polynomials
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