J. Sokół

collaborators

3 papers

math.CV2026

On starlikeness of $p$ -valent analytic functions

Mamoru Nunokawa$, Janusz Sokol

The known Ozaki's condition says that $Re {f^{(p)} (z)} > 0$ for $∣ z ∣ < 1$ implies that $f (z) = z^{p} + a_{p + 1} z^{p + 1} + \dots$ is at most $p$ -valent in $D$ . In…

math.CV2026

Hadamard product of convex functions and Jackson operator

K. Piejko, J. Sokół, K. Trcabka-Wiȩc\a{l}aw

In this paper we consider some properties of Jackson's difference operator for convex univalent functions in $∣ z ∣ < 1$ with complex parameter $q$ as a Hadamard product of two power s…

math.CV2018

On a certain subclass of strongly starlike functions

R. Kargar, J. Sokół, H. Mahzoon

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

On starlikeness of p-valent analytic functions

Hadamard product of convex functions and Jackson operator

On a certain subclass of strongly starlike functions

On starlikeness of $p$ -valent analytic functions