Order of convexity and univalency of general integral operator

被引：19
|
作者：
Frasin, B. A. [1 ]
机构：
[1] Al Al Bayt Univ, Dept Math, Mafraq, Jordan
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2011年 / 348卷 / 06期
关键词：
D O I：
10.1016/j.jfranklin.2011.03.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we introduce the integral operator I(gamma)(alpha i,beta i)(f(1),...,f(n))(z) of analytic functions. The order of convexity of this integral operator when gamma = 1 is determined. Furthermore, we derive sufficient conditions for this operator to be analytic and univalent in the open unit disc. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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页码：1013 / 1019
页数：7
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