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Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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/journaldescriptio... |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 23 Apr 2010 08:10 |
| Last Modified: | 20 Apr 2016 12:31 |
