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http://acervodigital.unesp.br/handle/11449/112878- Title:
- Zeros of classical orthogonal polynomials of a discrete variable
- Univ Vigo
- Universidade Estadual Paulista (UNESP)
- Universidade Estadual de Campinas (UNICAMP)
- 0025-5718
- 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)
- Ministerio de Ciencia e Innovacion of Spain
- European Community fund FEDER
- CAPES: 160/08
- CAPES: PHB2007-0078
- CNPq: 305622/2009-9
- FAPESP: 09/13832-9
- Ministerio de Ciencia e Innovacion of SpainMTM2009-14668-C02-01
- In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called Hellmann-Feynman theorem. Comparisons with previous results for zeros of Hahn, Meixner, Kravchuk and Charlier polynomials are also presented.
- 1-Apr-2013
- Mathematics of Computation. Providence: Amer Mathematical Soc, v. 82, n. 282, p. 1069-1095, 2013.
- 1069-1095
- Amer Mathematical Soc
- Orthogonal polynomials of a discrete variable
- Zeros
- Charlier polynomials
- Kravchuk polynomials
- Meixner polynomials
- Hahn polynomials
- Gram polynomials
- http://dx.doi.org/10.1090/S0025-5718-2012-02646-9
- Acesso aberto
- outro
- http://repositorio.unesp.br/handle/11449/112878
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