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Notes on the norm of pre-Schwarzian derivatives on bi-univalent functions of order
H. Mahzoon, R. Kargar
In the present paper we estimate the norm of the pre-Schwarzian derivative of bi-starlike functions of order where . Initially this problem was handled by Rahmatan e…
Coefficient and Fekete-Szegö problem estimates for certain subclass of analytic and bi-univalent functions
Hesam Mahzoon
In this paper, we obtain the Fekete-Szegö problem for the -th root transform of the analytic and normalized functions satisfying the condition \begin{equation*} 1…
On certain subclasses of close-to-convex functions related with the second-order differential subordination
Hesam Mahzoon, Rahim Kargar
Let be the family of analytic and normalized functions in the open unit disc . In this article we consider the following classes \begin{equation*} \mathcal{R}(…
Further results for a subclass of univalent functions related with differential equation
Hesam Mahzoon, Rahim Kargar
Let denote the class of functions analytic in the open unit disc , normalized by the condition and satisfying the inequality \begin{equation*} \left|zf'…