NEIGHBORHOODS OF A CERTAIN CLASS OF p-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY USING A DIFFERENTIAL OPERATOR

被引：0
|
作者：
Orhan, Halit [1 ]
机构：
[1] Ataturk Univ, Fac Sci Arts, Dept Math, TR-25240 Erzurum, Turkey
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2009年 / 12卷 / 02期
关键词：
analytic function; p-valent functions; Cauchy-Euler differential equation; inclusion relations; (n; delta)-neighborhood; starlike and convex functions; distortion inequalities; MULTIVALENT-FUNCTIONS; UNIVALENT-FUNCTIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this present paper, by making use of the familiar concept of neighborhoods of p-valent functions, the author prove coefficient bounds and distortion inequalities, and associated inclusion relations for the (n, delta) -neighborhoods of a class of p-valently analytic functions with negative coefficients, which is defined by means of a certain non-homogeneous Cauchy-Euler differential equation. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
引用
收藏
页码：335 / 349
页数：15
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