Sharp Turan inequalities via very hyperbolic polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:376

Article

Dimitrov, Dimitar K.¹  Kostov, Vladimir P.² 

[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

关键词: Laguerre-Polya class;    Maclaurin coefficients;    Turan inequalities;    Hyperbolic polynomials;    Very hyperbolic polynomials;   

DOI  :  10.1016/j.jmaa.2010.12.014

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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