Certain subclasses of analytic functions with varying arguments

In this paper, we introduce new classes VM(β ) and VN(β ) of analytic functions with varying arguments in the open unit disc U = {z ∈ C : |z| &lt;1}. Some properties such as coefficient estimates, extreme points, distortion theorems for functions f (z) belonging to the classes are obtained.<b...

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Bibliographic Details
Main Authors: Mohamed K. Aouf, Adela O. Mostafa, Eman A. Adwan
Format: Article
Language:English
Published: Università degli Studi di Catania 2014-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1137
Description
Summary:In this paper, we introduce new classes VM(β ) and VN(β ) of analytic functions with varying arguments in the open unit disc U = {z ∈ C : |z| &lt;1}. Some properties such as coefficient estimates, extreme points, distortion theorems for functions f (z) belonging to the classes are obtained.<br /><br />
ISSN:0373-3505
2037-5298