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Sharp bounds for the extreme zeros of classical orthogonal polynomials

Journal article published in 2010 by Dimitar Kolev Dimitrov ORCID, Geno P. Nikolov
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) ; Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) ; Processo FAPESP: 03/01874-2 ; Bounds for the extreme zeros of the classical orthogonal polynomials are obtained by a surprisingly simple method. Nevertheless, it turns out that, in most cases, the estimates obtained in this note are better than the best limits known in the literature. (C) 2009 Elsevier B.V. All rights reserved.