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math.CV2026

First-order Schwartian derivative and some classes of univalent functions

Milutin Obradovic, Nikola Tuneski

In this paper we give estimate of , where is the Schwartian derivative,…

math.CV2026

On some properties of bi-univalent functions in the unit disc

Milutin Obradović, Nikola Tuneski, Paweł Zaprawa

In this paper we use a method based on the Grunsky coefficients to find upper bounds of the modulus of the initial coefficients, difference of the moduli of two consecutive initial…

math.CV2026

On some properties of logarithmic coefficients of inverse of univalent functions

Milutin Obradović, Nikola Tuneski, Paweł Zaprawa

In this paper we consider some properties of the initial logarithmic coefficients for inverse functions of functions univalent in the unit disc. The case of convex functions is tre…

math.CV2025

Toeplitz and symmetric Toeplitz determinants for inverse functions of certain classes of univalent functions

Milutin Obradović, Nikola Tuneski

In this paper we investigate Toeplitz and symmetric Toeplitz determinants of inverse functions for some classes of univalent functions and improve some previous results.

math.CV2025

The Third Hankel determinant for inverse coefficients of bounded turning functions

Mohsan Raza, Nikola Tuneski

In this paper, we obtain sharp bounds for the third Hankel determinants of the coefficients of the inverse of bounded turning functions. Thus answering a negatively to a conjecture…