Univalence of integral operators involving Bessel functions

被引：36
|
作者：
Baricz, Arpad [2 ]
Frasin, Basem A. [1 ]
机构：
[1] Al al Bayt Univ, Dept Math, Mafraq 130095, Jordan
[2] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania
来源：
APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 04期
关键词：
Analytic functions; Integral operators; Bessel functions; SCHLICHT FUNCTIONS;
D O I：
10.1016/j.aml.2009.10.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note our aim is to deduce some sufficient conditions for integral operators involving Bessel functions of the first kind to be univalent in the open unit disk. The key tools in our proofs are the generalized versions of the well-known Ahlfors' and Becker's univalence criteria and some inequalities for the normalized Bessel functions of the first kind. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：371 / 376
页数：6
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