Coefficient estimates for functions associated with vertical strip domain
Commun. Korean Math. Soc.
Published online September 9, 2021
Serap Bulut
Kocaeli University
Abstract : In this paper, we consider a convex univalent function f_{α,β} which maps the open unit disk U onto the vertical strip domain Ω_{α,β}={w∈C:α<ℜ(w)<β} and introduce new subclasses of both close-to-convex and bi-close-to-convex functions with respect to an odd starlike function associated with Ω_{α,β}. Also, we investigate the Fekete-Szegö type coefficient bounds for functions belonging to these classes.
Keywords : Analytic and univalent functions, bi-univalent function, close-to-convex function, starlike functions, subordination principle, Fekete-Szegö problem.
MSC numbers : 30C45, 30C50, 30C80
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