Coefficient estimates for functions associated with vertical strip domain
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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.
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.
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