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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ZEROS OF CLASSICAL ORTHOGONAL POLYNOMIALS OF A DISCRETE VARIABLE

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Author(s):
Area, Ivan [1] ; Dimitrov, Dimitar K. [2] ; Godoy, Eduardo [3] ; Paschoa, Vanessa G. [4]
Total Authors: 4
Affiliation:
[1] Univ Vigo, Dept Matemat Aplicada 2, EE Telecomunicac, Vigo 36310 - Spain
[2] Univ Estadual Paulista, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[3] Univ Vigo, Dept Matemat Aplicada 2, EE Ind, Vigo 36310 - Spain
[4] Univ Estadual Campinas UNICAMP, IMECC, Dept Matemat Aplicada, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Mathematics of Computation; v. 82, n. 282, p. 1069-1095, APR 2013.
Web of Science Citations: 5
Abstract

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. (AU)

FAPESP's process: 09/13832-9 - Orthogonal polynomials, special functions and applications
Grantee:Dimitar Kolev Dimitrov
Support Opportunities: Research Projects - Thematic Grants