Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions.
type: Item
instance of: scholarly article
title: Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions.
zbMATH Open document ID: 1089.33005
DOI: 10.1016/S0019-3577(04)90001-8
published in: Indagationes Mathematicae. New Series
publication date: 2005-01-03T00:00:00Z
review text: The authors consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. They analyze the existence of the corresponding orthogonal polynomial sequences with respect to such linear functionals. The three-term recurrence relation, lowering and raising operators as well as the second order linear differential equation that the sequences of monic orthogonal polynomials satisfy when the linear functional is semiclassical are also established. A relevant example is considered in details.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C47
Mathematics Subject Classification ID: 47A06
zbMATH DE Number: 2124625
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: quasi-definite linear functional
zbMATH Keywords: classical polynomials
zbMATH Keywords: kernels
zbMATH Keywords: orthogonal polynomials
author: Renato Álvarez-Nodarse
author: Jorge Arvesú
author: Francisco Marcellán
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2124625