M. Obradovi'c

activity

20122024

f (z) / f^{'} (z)

univalent?

2 citations · 6 across the 14 of their papers we have counts for

collaborators

18 papers

math.CV2024

Some differential inequalities and criteria for univalency in the unit disk

M. Obradovic, N. Tuneski

In this paper, Jack lemma is used for obtaining several differential inequalities over analytic functions that later on, lead to new criteria for univalency in the unit disk.

math.CV2022

Two types of the second Hankel determinant for the class $U$ and the general class $S$

Milutin Obradović, Nikola Tuneski

In this paper we determine the upper bounds of the Hankel determinants of special type $H_{2} (3) (f)$ and $H_{2} (4) (f)$ for the class of univalent functions and for the class $\math…

math.CV2022★ 1 cited

Hankel determinant of type $H_{2} (3)$ for inverse functions of some classes of univalent functions with missing second coefficient

Milutin Obradović, Nikola Tuneski

In this paper we determine the upper bounds of $∣ H_{2} (3) ∣$ for the inverse functions of functions of some classes of univalent functions, where $H_{2} (3) (f) = a_{3} a_{5} - a_{4}^{2}$ …

math.CV2022

Two applications of Grunsky coefficients in the theory of univalent functions

Milutin Obradović, Nikola Tuneski

Let $S$ denote the class of functions $f$ which are analytic and univalent in the unit disk $D = {z : ∣ z ∣ < 1}$ and normalized with $f(z)=z+\sum_{n=2}^{\infty} a_n…

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.CV2021

Coefficients of the inverse of functions for the subclass of $U (λ)$

Milutin Obradović, Nikola Tuneski

Let $A$ be the class of functions $f$ that are analytic in the unit disk $D$ and normalized such that $f (z) = z + a_{2} z^{2} + a_{3} z^{3} + \dots$ . Let $0 < λ \leq 1$ and \[ {\mat…

math.CV2021

Sharp bounds of Hankel determinants of second and third order for inverse functions of certain class of univalent functions

Milutin Obradović, Nikola Tuneski

Let $A$ be the class of functions that are analytic in the unit disc $D$ , normalized such that $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ , and let class ${\mathcal U}(λ…

math.CV2020

On certain properties of some subclasses of univalent functions

Nikola Tuneski, Milutin Obradović

In this paper we determine the disks $∣ z ∣ < r \leq 1$ where for different classes of univalent functions, we have the property $${\rm Re}\left\{2\frac{zf'(z)}{f(z)}-\frac{z f''(z)}{f'(z…

math.CV2020

On a conjecture for the fifth coefficients for the class $U (λ)$

Milutin Obradović, Nikola Tuneski

Let $f$ be function that is analytic in the unit disk $D = {z : ∣ z ∣ < 1}$ , normalized such that $f (0) = f^{'} (0) - 1 = 0$ , i.e., of type $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ . If addit…

math.CV2020

Some application of Grunsky coefficients in the theory of univalent functions

Milutin Obradović, Nikola Tuneski

Let function $f$ be normalized, analytic and univalent in the unit disk $D = {z : ∣ z ∣ < 1}$ and $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ . Using a method based on Grusky coefficie…

math.CV2020★ 1 cited

Zalcman and generalized Zalcman conjecture for the class $U$

Milutin Obradović, Nikola Tuneski

Function $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ , normalized, analytic and univalent in the unit disk $D = {z : ∣ z ∣ < 1}$ , belongs to the class $U$ . if, and only if, \[…

math.CV2020

Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions

Milutin Obradović, Nikola Tuneski

In this paper we improve the upper bound of the third order Hankel determinant for the class of Ozaki close-to-convex functions. The sharp bound is conjectured.

math.CV2020

The third logarithmic coefficient for the class S

Milutin Obradović, Nikola Tuneski

In this paper we give an upper bound of the third logarithmic coefficient for the class $S$ of univalent functions in the unit disc.

math.CV2019★ 1 cited

Hermitian Toepliz determinants for the class $S$ of univalent functions

Milutin Obradović, Nikola Tuneski

Introducing a new method we give sharp estimates of the Hermitian Toepliz determinants of third order for the class $S$ of functions univalent in the unit disc. The new a…

math.CV2019

Differential Inequalities and Univalent Functions

Rosihan M. Ali, Milutin Obradović, Saminathan Ponnusamy

Let $M$ be the class of analytic functions in the unit disk $\ID$ with the normalization $f (0) = f^{'} (0) - 1 = 0$ , and satisfying the condition $$\left |z^2\left (\frac{z}{f(z)}…

math.CV2015★ 2 cited

Where is $f (z) / f^{'} (z)$ univalent?

Milutin Obradović, Saminathan Ponnusamy, Karl-Joachim Wirths

Let $S$ denote the family of all univalent functions $f$ in the unit disk $\ID$ with the normalization $f (0) = 0 = f^{'} (0) - 1$ . There is an intimate relationship between the o…

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…

Some differential inequalities and criteria for univalency in the unit disk

Two types of the second Hankel determinant for the class U and the general class S

Hankel determinant of type H2​(3) for inverse functions of some classes of univalent functions with missing second coefficient

Two applications of Grunsky coefficients in the theory of univalent functions

Certain properties of the class of univalent functions with real coefficients

Coefficients of the inverse of functions for the subclass of U(λ)

Sharp bounds of Hankel determinants of second and third order for inverse functions of certain class of univalent functions

On certain properties of some subclasses of univalent functions

On a conjecture for the fifth coefficients for the class U(λ)

Some application of Grunsky coefficients in the theory of univalent functions

Zalcman and generalized Zalcman conjecture for the class U

Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions

The third logarithmic coefficient for the class S

Hermitian Toepliz determinants for the class S of univalent functions

Differential Inequalities and Univalent Functions

Where is f(z)/f′(z) univalent?

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

Univalence of the average of two analytic functions

Two types of the second Hankel determinant for the class $U$ and the general class $S$

Hankel determinant of type $H_{2} (3)$ for inverse functions of some classes of univalent functions with missing second coefficient

Coefficients of the inverse of functions for the subclass of $U (λ)$

On a conjecture for the fifth coefficients for the class $U (λ)$

Zalcman and generalized Zalcman conjecture for the class $U$

Hermitian Toepliz determinants for the class $S$ of univalent functions

Where is $f (z) / f^{'} (z)$ univalent?