On analytic functions with generalized bounded Mocanu variation

被引：19

作者：

Noor, Khalida Inayat ^{[1
]}

Muhammad, Ali ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 196卷 / 02期

关键词：

Univalent and Bazilevic functions with positive real part; bounded boundary and radius rotation; arclength problems; starlike; convex; strongly alpha-convex; bounded boundary rotation;

D O I：

10.1016/j.amc.2007.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study a class of normalized analytic functions defined in the open unit disc. This class contains several known classes of analytic functions such as those of functions with bounded boundary rotation, bounded radius rotation and bounded Mocanu variation. It also generalizes the concept of Bazilevic functions in some sense. Inclusion results, arclength problem, coefficient bounds and distortion results with some other properties of this class are investigated. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：802 / 811

页数：10

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