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.
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页码：1183 / 1189
页数：7
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