Generating functions and companion symmetric linear functionals
type: Item
instance of: scholarly article
title: Generating functions and companion symmetric linear functionals
zbMATH Open document ID: 1047.33004
DOI: 10.1023/A:1025988010220
published in: Periodica Mathematica Hungarica
publication date: 2004-09-07T00:00:00Z
review text: The authors study the relation between generating functions of a set of orthogonal polynomials and of the corresponding symmetric orthogonal polynomials. The results are applied to the Laguerre type and Hermite type polynomials, where a mass point at \(0\) is added to the measures of orthogonality of the classical Laguerre or Hermite polynomials.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 2099014
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: symmetric linear functionals
zbMATH Keywords: generating functions
author: Esther M. García-Caballero
author: Samuel G. Moreno
author: Francisco Marcellán
reviewed by: Ryszard Szwarc
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2099014