On co-recursive associated Laguerre polynomials
type: Item
instance of: scholarly article
title: On co-recursive associated Laguerre polynomials
zbMATH Open document ID: 0792.33005
DOI: 10.1016/0377-0427(93)90143-Y
author: Jean Letessier
published in: Journal of Computational and Applied Mathematics
publication date: 1994-07-25T00:00:00Z
review text: The author gives an explicit formula, a generating function, the orthogonality measure and a fourth-order differential equation for the co-recursive associated Laguerre-polynomials (first replace \(n\) by \(n+c\) in the recurrence relation for the ordinary Laguerre-polynomials and then replace the first degree polynomial \(-(x-2c-\alpha -1)/(c+1)\) by \(-(x- \mu-2c-\alpha-1)/(c+1)\); \(c\) has to satisfy \((n+c)(n+c+\alpha)>0\) for \(n \geq 1\), the range for \(\mu \neq 0\) is not mentioned in the paper). Finally some limit cases are shown to lead to known results, thereby exhibiting the `umbrella function' of the polynomials considered.
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 540457
zbMATH Keywords: associated Laguerre-polynomials
reviewed by: Marcel G. de Bruin
describes a project that uses: Maple
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 540457