On the fourth-order difference equation for the associated Meixner polynomials

DOI10.1016/S0377-0427(97)82986-XzbMath0870.33005MaRDI QIDQ1360178

Stanisław Lewanowicz

Publication date: 15 July 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

difference equationsMeixner polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions coming from differential, difference and integral equations (33E30)

Related Items (2)

The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials

Uses Software

• Maple

Cites Work

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• Linear birth and death models and associated Laguerre and Meixner polynomials
• Difference equation for associated polynomials on a linear lattice
• Results on the associated classical orthogonal polynomials
• Fourth-order difference equation for the associated Meixner and Charlier polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

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