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 Coefficient estimates for functions associated with vertical strip domain Commun. Korean Math. Soc. 2022 Vol. 37, No. 2, 537-549 https://doi.org/10.4134/CKMS.c210138Published online March 29, 2022Printed April 30, 2022 Serap Bulut Kocaeli University Abstract : In this paper, we consider a convex univalent function $f_{\alpha ,\beta }$ which maps the open unit disc $\mathbb{U}$ onto the vertical strip domain \begin{equation*} \Omega _{\alpha ,\beta }=\left\{ w\in \mathbb{C}:\alpha <\Re \left( w\right) <\beta \right\} \end{equation*} and introduce new subclasses of both close-to-convex and bi-close-to-convex functions with respect to an odd starlike function associated with $\Omega _{\alpha ,\beta }$. Also, we investigate the Fekete-Szeg\"{o} type coefficient bounds for functions belonging to these classes. Keywords : Analytic and univalent function, bi-univalent function, close-to-convex function, starlike function, subordination principle, Fekete-Szeg\"{o} problem Downloads: Full-text PDF   Full-text HTML

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