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A Certain Subclass of Analytic Functions

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Author(s): Young Jae Sim | Oh Sang Kwon

Journal: Advances in Pure Mathematics
ISSN 2160-0368

Volume: 02;
Issue: 04;
Start page: 291;
Date: 2012;
Original page

Keywords: Univalent Functions | Convex Functions | Subordination | Order of Convexity

ABSTRACT
In the present paper, we introduce a class of analytic functions in the open unit disc by using the analytic function qα(z)=3/(3+(α-3)z-αz2), which was investigated by Sokó? [1]. We find some properties including the growth theorem or the coefficient problem of this class and we find some relation with this new class and the class of convex functions.
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