On certain subclasses of multivalent functions defined by multiplier transformations

The purpose of the present paper is to introduce and investigate various properties of a certain class of multivalent functions in the open unit disk defined by a multiplier transformation. In particular, we obtain some inclusion relationships and integral preserving properties of this class of func...

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Published inJournal of inequalities and applications Vol. 2013; no. 1
Main Authors Patel, Jagannath, Cho, Nak Eun, Palit, Ashis Kumar
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 21.09.2013
Subjects
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Proceedings of the International Congress in Honour of Professor Hari M. Srivastava
multiplier transformation
multivalent function
integral operator
analytic function
subordination
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Summary:The purpose of the present paper is to introduce and investigate various properties of a certain class of multivalent functions in the open unit disk defined by a multiplier transformation. In particular, we obtain some inclusion relationships and integral preserving properties of this class of functions. Relevant connections of the results presented in this paper with various known results are also pointed out. MSC: 30C45.
ISSN:1029-242X
1029-242X
DOI:10.1186/1029-242X-2013-441