Sharp Turán inequalities via very hyperbolic polynomials
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 Else...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/72383 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.jmaa.2010.12.014 http://hdl.handle.net/11449/72383 |
| Access Level: | acceso abierto |
| Palabra clave: | Hyperbolic polynomials Laguerre-Pólya class Maclaurin coefficients Turán inequalities Very hyperbolic polynomials |
| Sumario: | 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. |
|---|