Sharp Turán inequalities via very hyperbolic polynomials
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Data
2011-04-15
Autores
Dimitrov, Dimitar K. [UNESP]
Kostov, Vladimir P.
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Resumo
We present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Pólya 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 Turán inequalities. © 2010 Elsevier Inc.
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Hyperbolic polynomials, Laguerre-Pólya class, Maclaurin coefficients, Turán inequalities, Very hyperbolic polynomials
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Journal of Mathematical Analysis and Applications, v. 376, n. 2, p. 385-392, 2011.