N. Tuneski

activity

20182025

most citedHankel determinant for a class of analytic functions

12 citations · 28 across the 31 of their papers we have counts for

collaborators

Showing 2020Show all

9 papers · 1 filter

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

On certain properties of the class $U (λ)$

N. M. Alarifi, M. Obradovic, N. Tuneski

Let $A$ be the class of functions analytic in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ and normalized such that $f (z) = z + a_{2} z^{2} + a_{3} z^{3} + \dots$ . In…

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

On the difference of coefficients of univalent functions

Milutin Obradovic, Derek K. Thomas, Nikola Tuneski

For $f \in S$ , the class of normalized functions, analytic and univalent in the unit disk $D$ and given by $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ for $z\in \mathbb{…

math.CV2020★ 2 cited

Improved bounds of the third Hankel determinant for classes of univalent functions with bounded turning

Milutin Obradović, Nikola Tuneski, Pawel Zaprawa

In this paper we improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded turning. The bounds are not sharp, but the sharp ones…

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.

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

On certain properties of the class U(λ)

Zalcman and generalized Zalcman conjecture for the class U

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

On the difference of coefficients of univalent functions

Improved bounds of the third Hankel determinant for classes of univalent functions with bounded turning

The third logarithmic coefficient for the class S

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

On certain properties of the class $U (λ)$

Zalcman and generalized Zalcman conjecture for the class $U$