Bounds for the radii of univalence of some special functions

Autor:	Aktaş, Ibrahim, Baricz, Árpád, Yağmur, Nihat
Rok vydání:	2016
Předmět:	Mathematics - Classical Analysis and ODEs 30C45 30C15 33C10
Zdroj:	Mathematical Inequalities and Applications 20(3) (2017) 825-843
Druh dokumentu:	Working Paper
Popis:	Tight lower and upper bounds for the radius of univalence of some normalized Bessel, Struve and Lommel functions of the first kind are obtained via Euler-Rayleigh inequalities. It is shown also that the radius of univalence of the Struve functions is greater than the corresponding radius of univalence of Bessel functions. Moreover, by using the idea of Kreyszig and Todd, and Wilf it is proved that the radii of univalence of some normalized Struve and Lommel functions are exactly the radii of starlikeness of the same functions. The Laguerre-P\'olya class of entire functions plays an important role in our study. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.02649 Zobrazit plný text záznamu View this record from Arxiv