R. Kargar

collaborators

5 papers

math.CV2026

Characterizations of extremal hyperbolic rates via Herglotz measures and Koenigs linearization

Rahim Kargar

Let $g : D \to D$ be a hyperbolic holomorphic self-map of the unit disk with Denjoy--Wolff point $τ \in \partial D$ and angular derivative $α \in (0, 1)$ . We say t…

math.CV2026

Higher-order Volterra-type integral operator on Hardy and Bergman spaces

Rahim Kargar

We investigate the higher-order Volterra-type integral operator $T_{g, n}$ on the unit disk, defined for $n \in N$ by \[ T_{g,n}[f](z) := \underbrace{\int_{0}^{z}\int_{0}^{t_1…

math.CV2026

Variable exponent modulus in symmetric domains

Rahim Kargar

We develop a rigorous variational theory for the modular variable-exponent modulus of curve families in two symmetric geometries: annuli $A (r_{1}, r_{2}) \subset R^{n}$ with radial…

math.CV2026

On a certain subclass of strongly starlike functions

R. Kargar, J. SokÃ³Å, H. Mahzoon

Let $S^{*} (I^\pm_{1}, I^\pm_{2})$ , where $I^\pm_{1}, I^\pm_{2} \in (0, 1]$ , represent the class of functions $f$ that are analytic in the open unit disk $D$ , normalized by $f(0) = f'(0…

math.CV2025

Volterra type integral operator and analytic function spaces

Rahim Kargar

We investigate the geometric properties of the Volterra-type integral operator \begin{equation*} T_g[f](z) = \int_{0}^{z} f(s)\, g'(s)\, ds, \quad |z|<1, \end{equation*} acting on…