\(d\)-orthogonality of little \(q\)-Laguerre type polynomials
type: Item
instance of: scholarly article
title: \(d\)-orthogonality of little \(q\)-Laguerre type polynomials
zbMATH Open document ID: 1232.33028
published in: Journal of Computational and Applied Mathematics
publication date: 2011-11-10T00:00:00Z
review text: The authors introduce the \(L_{q}\) classical \(d\)-orthogonal polynomials of little \(q\)-Laguerre type, \(P_{n}(x,(\beta_{s})|q)\), \(s=0,\dots,d\) and \(\beta_{j}\), \(j=1,\dots,s\) are complex numbers such as \(\beta_{j}\neq 0,1,q^{-1}, q^{-2},\dots\) and study their properties. The obtained polynomials can be viewed as a q-analog of the d-orthogonal polynomials of Laguerre type, which were introduced by Y. Ben Cheikh and K. Douak, if we put \((q,s)=(1,d)\). Also, for \((d,s)=(1,0)\) the polynomials \(P_{n}(x,(\beta_{s})|q)\) give a new class of q-orthogonal polynomials and for \((d,s)=(1,1)\) they become the little q-Laguerre polynomials.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 5969815
zbMATH Keywords: \(d\)-orthogonality
zbMATH Keywords: basic hypergeometric polynomials
zbMATH Keywords: linear functionals
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: little \(q\)-Laguerre polynomials
author: Youssèf Ben Cheikh
author: Imed Lamiri
author: Abdelwaheb Ouni
MaRDI profile type: Publication
full work available at URL: j.cam.2011.03.006
OpenAlex ID: W1489141941
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DOI: 10.1016/J.CAM.2011.03.006
description: scientific article; zbMATH DE number 5969815