On some properties of bi-univalent functions in the unit disc
Complex Variables
2026-05-15 v1
Abstract
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 coefficients, of the modulus of the initial logarithmic coefficient, and of the second Hankel determinant for the class of normalized bi-univalent functions.
Keywords
Cite
@article{arxiv.2605.14429,
title = {On some properties of bi-univalent functions in the unit disc},
author = {Milutin Obradović and Nikola Tuneski and Paweł Zaprawa},
journal= {arXiv preprint arXiv:2605.14429},
year = {2026}
}