COEFFICIENT BOUNDS FOR A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH THE KOEBE FUNCTION

Sidik Rathi, Shaharuddin Cik Soh and Ajab Akbarally
Faculty of Computer and Mathematical Sciences,
Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
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ABSTRACT

We consider here the functions  which are analytic and univalent in the open unit disc normalized by  and . By , we denote a new subclass of close-to-convex function such that for which and . In this paper, we give the representation theorem and obtain the coefficient bounds for functions in .

Keywords: Close-to-convex Functions, Coefficient Bounds, Koebe Function, Representation Theorem, Univalent Functions.

Published On: 20 December 2018

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