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

页码：335 / 349

页数：15

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