Neighborhoods of certain p-valent analytic functions with complex order

被引：6

作者：

Mostafa, A. O. ^{[1
]}

Aouf, M. K. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 06期

关键词：

Convolution; p-valent functions; N(n; delta)-neighborhood; Cauchy-Euler differential equation;

D O I：

10.1016/j.camwa.2008.10.101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors prove several coefficient bounds, distortion inequalities of the class S-g(n)(p, lambda, b, beta) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic functions, they obtained several inclusion relations associated with the N-p(n, delta)-neighborhood of this class and its certain derivatives, which is defined by means of a certain non-homogeneous Cauchy-Euler differential equations. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1183 / 1189

页数：7

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