Rahim Kargar

collaborators

3 papers

math.CV2019

Notes on the norm of pre-Schwarzian derivatives of certain analytic functions

Rahim Kargar

In this paper, we obtain sharp bounds for the norm of pre--Schwarzian derivatives of certain analytic functions. Initially this problem was handled by H. Rahmatan, Sh. Najafzadeh a…

math.CV2019

On certain subclasses of close-to-convex functions related with the second-order differential subordination

Hesam Mahzoon, Rahim Kargar

Let $A$ be the family of analytic and normalized functions in the open unit disc $∣ z ∣ < 1$ . In this article we consider the following classes \begin{equation*} \mathcal{R}(…

math.CV2019

Further results for a subclass of univalent functions related with differential equation

Hesam Mahzoon, Rahim Kargar

Let $Ω$ denote the class of functions $f$ analytic in the open unit disc $Δ$ , normalized by the condition $f (0) = f^{'} (0) - 1 = 0$ and satisfying the inequality \begin{equation*} \left|zf'…