On Classes of Non-Carathéodory Functions Associated with a Family of Functions Starlike in the Direction of the Real Axis

Author:

Karthikeyan Kadhavoor R.ORCID,Cho Nak EunORCID,Murugusundaramoorthy GangadharanORCID

Abstract

In this paper, we introduce a new class of analytic functions subordinated by functions which is not Carathéodory. We have obtained some interesting subordination properties, inclusion and integral representation of the defined function class. Several corollaries are presented to highlight the applications of our main results.

Funder

National Research Foundation of Korea

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference29 articles.

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4. Coefficient estimates in a class of strongly starlike functions;Kyungpook Math. J.,2009

5. Some properties related to a certain class of starlike functions;Raina;Comptes Rendus Math. Acad. Sci. Paris,2015

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