Year: 2025
Type: article
Abstract: Let function f be normalized, analytic and univalent in the unit disk 𝔻 = { z : | z | < 1} and f ( z ) = z + ∑ n = 2 ∞ a n z n f\left( z \right) = z + \sum\nolimits_{n = 2}^\infty {{a_n}{z^n}} . Using a method based on Grusky coefficients we study several problems over that class of univalent functions: upper bounds of the special case of the generalized Zalcman conjecture | a 2 a 3 − a 4 |, of the third logarithmic coefficient, and of the second Hankel determinant for the logarithmic coefficients.
Authors: Milutin Obradović, Nikola Tuneski
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3088065461