Milutin Obradović

activity

20122023

most citedUnivalence of the average of two analytic functions

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.CV2024

On the difference of the moduli of the two initial logarithmic coefficients

Milutin Obradović, Nikola Tuneski

In this paper, we give sharp bounds of the difference of the moduli of the second and the first logarithmic coefficient for the functions on the class $U$ , for the $α$ -con…

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…

math.CV2021

Certain properties of the class of univalent functions with real coefficients

Milutin Obradović, Nikola Tuneski

Let $U^{+}$ be the class of analytic functions $f$ such that $\frac{z}{f ( z )}$ has real and positive coefficients and $f^{- 1}$ be its inverse. In this paper we give sharp e…

math.CV2014

The radius of univalence of the reciprocal of a product of two analytic functions

Á. Baricz, M. Obradović, S. Ponnusamy

Let $A$ denote the family of all functions $f$ analytic in the open unit disk $\ID$ with the normalization $f (0) = 0 = f^{'} (0) - 1$ and $S$ be the class of univalent…

math.CV2012★ 1 cited

Univalence of the average of two analytic functions

M. Obradović, S. Ponnusamy

Let $A$ denote the set of all analytic functions $f$ in the unit disk $\ID=\{z:\,|z|<1\}$ of the form $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n} .$ Let $U$ denote the set…