Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials
type: Item
instance of: scholarly article
title: Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials
zbMATH Open document ID: 1247.33019
author: Subuhi Khan
author: Nusrat Raza
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-11-15T00:00:00Z
review text: The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established. The authors prove also a result that gives the differential equation which the Laguerre-Sheffer polynomials satisfy as well as a recurrence relation for these polynomials.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C65
zbMATH DE Number: 5971758
zbMATH Keywords: Sheffer polynomials
zbMATH Keywords: Laguerre-Sheffer polynomials
zbMATH Keywords: Laguerre-Appell polynomials
zbMATH Keywords: monomiality principle
zbMATH Keywords: operational methods
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.08.064
OpenAlex ID: W2068956678
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DOI: 10.1016/J.JMAA.2011.08.064
description: scientific article; zbMATH DE number 5971758