INEQUALITIES FOR ZEROS of JACOBI POLYNOMIALS VIA OBRECHKOFF'S THEOREM

Area, Ivan; Dimitrov, Dimitar Kolev; Godoy, Eduardo; Rafaeli, Fernando R.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/21775

Title:

INEQUALITIES FOR ZEROS of JACOBI POLYNOMIALS VIA OBRECHKOFF'S THEOREM

Author(s):

Institution:

Univ Vigo
Universidade Estadual Paulista (UNESP)

ISSN:

0025-5718

Sponsorship:

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
MCT of Spain
European Community

Sponsorship Process Number:

CAPES: 160/08
CAPES: PHB2007-0078
CNPq: 305622/2009-9
FAPESP: 09/13832-9
MCT of Spain: MTM2009-14668-C02-01

Abstract:

In this paper we obtain sharp limits for all the zeros of Jacobi polynomials. We employ Obrechkoff's theorem on generalized Descartes' rule of signs and certain elaborated connection formulae which involve Jacobi and Laguerre polynomials.

Issue Date:

1-Apr-2012

Citation:

Mathematics of Computation. Providence: Amer Mathematical Soc, v. 81, n. 278, p. 991-1004, 2012.

Time Duration:

991-1004

Publisher:

Amer Mathematical Soc

Keywords:

Connection formula
Obrechkoff's theorem
Zeros
Jacobi polynomial
Laguerre polynomial

Source:

http://www.ams.org/journals/mcom/2012-81-278/S0025-5718-2011-02553-6/

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/21775

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