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

页码：161 / 172

页数：12