Inclusion properties for certain classes of differential subordination

In this work, we introduce a new generalised derivatives operator µ n,m. By using this operator, we introduce several new subclasses of analytic function defined in the open unit disc U = {z € C:|z|<1}. We also investigate various inclusion properties of these subclasses. In addition, we deter...

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Bibliographic Details
Main Authors: Ma`moun Harayzeh Al-Abbadi,, Maslina Darus,
Format: Article
Published: Penerbit ukm 2009
Online Access:http://journalarticle.ukm.my/1942/
http://www.ukm.my/~ppsmfst/jqma/index.html
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Summary:In this work, we introduce a new generalised derivatives operator µ n,m. By using this operator, we introduce several new subclasses of analytic function defined in the open unit disc U = {z € C:|z|<1}. We also investigate various inclusion properties of these subclasses. In addition, we determine inclusion relationships between these new subclasses and other known classes.