Asymptotic properties of generalized Laguerre orthogonal polynomials.
type: Item
instance of: scholarly article
title: Asymptotic properties of generalized Laguerre orthogonal polynomials.
zbMATH Open document ID: 1064.41022
DOI: 10.1016/S0019-3577(04)90012-2
published in: Indagationes Mathematicae. New Series
publication date: 2005-01-03T00:00:00Z
review text: The Laguerre polynomials considered in this paper are orthogonal with respect to a Sobolev inner product. New asymptotic properties of these polynomials are given, together with a limit relation between the zeros of the polynomials and the zeros of a Bessel function. The results are obtained by writing the generalized polynomials as a sum of three classical Laguerre polynomials. Numerical examples illustrate the approximations of the zeros.
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 2124636
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: generalized Laguerre polynomials
zbMATH Keywords: asymptotic estimates
author: Renato Álvarez-Nodarse
author: J. J. Moreno-Balcázar
reviewed by: Nico M. Temme
MaRDI profile type: Publication
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full work available at URL: s0019-3577(04)90012-2
OpenAlex ID: W1572579242
description: scientific article; zbMATH DE number 2124636