Sharp Turán inequalities via very hyperbolic polynomials

Artigo

Fecha

2011-04-15

Registro en:

Journal of Mathematical Analysis and Applications, v. 376, n. 2, p. 385-392, 2011.

0022-247X

1096-0813

http://hdl.handle.net/11449/72383

10.1016/j.jmaa.2010.12.014

2-s2.0-78650700641

2-s2.0-78650700641.pdf

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3921449

Autor

Universidade Estadual Paulista (Unesp)

Parc Valrose

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Materias

Hyperbolic polynomials

Laguerre-Pólya class

Maclaurin coefficients

Turán inequalities

Very hyperbolic polynomials

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