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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.)

Sharp Turan inequalities via very hyperbolic polynomials

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Author(s):
Dimitrov, Dimitar K. [1] ; Kostov, Vladimir P. [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estat, BR-15054000 Sao Jose Do Rio Preto - Brazil
[2] Univ Nice, Math Lab, F-06108 Nice 2 - France
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 376, n. 2, p. 385-392, APR 15 2011.
Web of Science Citations: 5
Abstract

We present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Polya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results may be considered as extensions of the classical Turan inequalities. (C) 2010 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 03/01874-2 - Orthogonal and similar polynomials: properties and applications
Grantee:Alagacone Sri Ranga
Support Opportunities: Research Projects - Thematic Grants