N. Tuneski

collaborators

7 papers

math.CV2025

On certain applications of grunsky coefficients in the theory of univalent functions

M. Obradovic, N. Tuneski

In this paper a survey is given of application of a method based on Grunsky coefficients for obtaining different estimates (some sharp) for the general class of univalent functions…

math.CV2025

Symmetric Toeplitz determinants of some classes of univalent functions

Milutin ObradoviÄ, Nikola Tuneski

In this paper, we consider estimates of symmetric Toeplitz determinants $T_{q, n} (f)$ for the class $U$ and for the general class $S$ for certain values of $q$ …

math.CV2025

Some application of Grunsky coefficients in the theory of univalent functions

Milutin ObradoviÄ, 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.CV2025

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

M. Obradovic, N. Tuneski

In this paper we give sharp bounds of the difference of the moduli of the second and the first logarithmic coefficient for BazileviÄ class of univalent functions.

math.CV2024

Simple proofs of certain results on generalized Fekete-SzegÅ functional in the class $S$

Teodor BulboacÄ, Milutin ObradoviÄ, Nikola Tuneski

In this paper we give simple proofs for the main results concerning generalized Fekete-SzegÅ functional of type $a_{3} (f) - I^» a_{2} (f)^{2} - I^¼∣ a_{2} (f) ∣$ , where $Î»\in\m…

math.CV2024

Improvements of certain results of the class $S$ of univalent functions

Milutin ObradoviÄ, Nikola Tuneski

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

On certain applications of grunsky coefficients in the theory of univalent functions

Symmetric Toeplitz determinants of some classes of univalent functions

Some application of Grunsky coefficients in the theory of univalent functions

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

Simple proofs of certain results on generalized Fekete-SzegÅ functional in the class S

Improvements of certain results of the class S of univalent functions

Simple proofs of certain results on generalized Fekete-SzegÅ functional in the class $S$

Improvements of certain results of the class $S$ of univalent functions