N. Tuneski

activity

20182025

most citedHankel determinant for a class of analytic functions

12 citations · 17 across the 23 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.CV2023

Simple proofs of certain inequalities with logarithmic coefficients of univalent functions

Milutin Obradovic, Nikola Tuneski

In this paper we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of…

math.CV2023

On the difference of initial logarithmic coefficients for the class of univalent functions

Milutin Obradovic, Nikola Tuneski

In this paper we give estimates of the differences $∣ γ_{3} ∣ - ∣ γ_{2} ∣$ and $∣ γ_{4} ∣ - ∣ γ_{3} ∣$ for the class of functions $f$ univalent in the unit disc and normalized by $f (0) = f^{'} (0) - 1 = 0$ . Her…

math.CV2023

On a special class of Schwartz functions

Milutin Obradovic, Nikola Tuneski

In this paper we study functions $ω (z) = c_{1} z + c_{2} z^{2} + c_{3} z^{3} + \dots$ analytic in the open unit disk $D$ and such that $∣ ω^{'} (z) ∣ \leq 1$ for all $z \in D$ . For these f…

math.CV2023

Sharp bounds of logarithmic coefficients for a class of univalent functions

Milutin Obradović, Nikola Tuneski

Let $U (α, λ)$ , $0 < α < 1$ , $0 < λ < 1$ be the class of functions $f (z) = z + a_{2} z^{2} + a_{3} z^{3} + \dots$ satisfying $(\frac{z}{f ( z )})^{1 + α} f^{'} (z) - 1 < λ$ i…