NEIGHBORHOOD OF A CLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY THE GENERALIZED RUSCHEWEY DERIVATIVES INVOLVING A GENERAL FRACTIONAL DERIVATIVE OPERATOR

被引:0
作者
Zirar, Hazha [1 ]
机构
[1] Univ Salahaddin, Coll Sci, Dept Math, Erbil, Kurdistan, Iraq
来源
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 9卷 / 02期
关键词
Analytic functions; Identity function; Starlike functions; Convex functions; Generalized Ruscheweyh derivative; Fractional drivative operator; Inclusion relations;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relations associated with the (n, delta)-neighborhoods of various subclasses of starlike and convex functions of complex order defined by the generalized Ruscheweyh derivative involving a general fractional derivative operator. Special cases of some of these inclusion relations are shown to yield known results.
引用
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页码:161 / 172
页数:12
相关论文
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