Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials

Martínez-González, Pedro and Zarzo Altarejos, Alejandro (2010). Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials. "Journal of Computational and Applied Mathematics", v. 233 (n. 6); pp. 1577-1583. ISSN 0377-0427. https://doi.org/10.1016/j.cam.2009.02.088.

Description

Title: Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials
Author/s:
  • Martínez-González, Pedro
  • Zarzo Altarejos, Alejandro
Item Type: Article
Título de Revista/Publicación: Journal of Computational and Applied Mathematics
Date: January 2010
ISSN: 0377-0427
Volume: 233
Subjects:
Freetext Keywords: Lauricella function; Orthogonal polynomials; Zeros; Asymptotics
Faculty: E.T.S.I. Industriales (UPM)
Department: Matemática Aplicada a la Ingeniería Industrial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The asymptotic contracted measure of zeros of a large class of orthogonal polynomials is explicitly given in the form of a Lauricella function. The polynomials are defined by means of a three-term recurrence relation whose coefficients may be unbounded but vary regularly and have a different behaviour for even and odd indices. Subclasses of systems of orthogonal polynomials having their contracted measure of zeros of regular, uniform, Wigner, Weyl, Karamata and hypergeometric types are explicitly identified. Some illustrative examples are given.

More information

Item ID: 2884
DC Identifier: http://oa.upm.es/2884/
OAI Identifier: oai:oa.upm.es:2884
DOI: 10.1016/j.cam.2009.02.088
Official URL: http://www.elsevier.com/wps/find/journaldescription.cws_home/505613/description#description
Deposited by: Memoria Investigacion
Deposited on: 23 Apr 2010 08:10
Last Modified: 20 Apr 2016 12:31
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