Some results on co-recursive associated Meixner and Charlier polynomials
type: Item
instance of: scholarly article
title: Some results on co-recursive associated Meixner and Charlier polynomials
zbMATH Open document ID: 0941.33004
DOI: 10.1016/S0377-0427(98)00269-6
author: Jean Letessier
published in: Journal of Computational and Applied Mathematics
publication date: 2000-08-03T00:00:00Z
review text: The paper may be seen as a continuation of a recent article by \textit{J. Letessier}, \textit{A. Ronveaux}, \textit{G. Valent} and the author on associated Meixner and Charlier polynomials [ibid. 71, No. 2, 331-341 (1996; Zbl 0856.33008). For the CAM (corecursive associated Meixner) polynomials the author derives an explicit expression in terms of hypergeometric functions. A generating function is obtained which in turn leads to the Stieltjes transform of the orthogonality measure. Moreover, a fourth-order difference equation satisfied by the CAM polynomials is derived; the coefficients are quite complicated and MAPLE was used. Finally, some special and limiting cases are considered. Note that a minus sign is missing on the right-hand sides of (11) and (22).
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1334672
zbMATH Keywords: Stieltjes transform of orthogonality measure
zbMATH Keywords: Maple applications
zbMATH Keywords: Meixner polynomials
zbMATH Keywords: Charlier polynomials
zbMATH Keywords: difference equation
reviewed by: Per W. Karlsson
describes a project that uses: Maple
MaRDI profile type: Publication
cites work: On Co-Recursive Orthogonal Polynomials
cites work: Q4170993
cites work: Q5820721
cites work: Q3484138
cites work: Birth and death processes with absorption
cites work: Linear birth and death models and associated Laguerre and Meixner polynomials
cites work: A diffusion process with killing: The time to formation of recurrent deleterious mutant genes
cites work: Linear birth and death processes with killing
cites work: Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials
cites work: Fourth-order difference equation for the associated Meixner and Charlier polynomials
cites work: Q5518575
cites work: Denumerable Markov processes and the associated contraction semigroups on l
cites work: Co-recursive orthogonal polynomials and fourth-order differential equation
description: scientific article; zbMATH DE number 1334672