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Sharp Turán inequalities via very hyperbolic polynomials |
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| Authors: | Dimitar K Dimitrov Vladimir P Kostov |
| Institution: | a Departamento de Ciências de Computação e Estatística, IBILCE, Universidade Estadual Paulista, 15054-000 São José do Rio Preto, SP, Brazil b Université de Nice, Laboratoire de Mathématiques, Parc Valrose, 06108 Nice Cedex 2, France |
| Abstract: | 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. |
| Keywords: | Laguerre-Pó lya class Maclaurin coefficients Turá n inequalities Hyperbolic polynomials Very hyperbolic polynomials |
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