3 papers
math.CV2024
Harmonic K-quasiconformal Koebe functions: construction and application to Pavlovic's problem
Zhi-Gang Wang, Xiao-Yuan Wang, Antti Rasila +1
We first construct the harmonic K-quasiconformal Koebe functions, filling a long-standing foundational gap in geometric function theory. This construction provides a unified parame…
math.CV2021
On quasiconformal extensions of harmonic mappings associated with pre-Schwarzian derivative
Xiao-Yuan Wang, Jin-Hua Fan, Zhen-Yong Hu +1
In this paper, we extend Ahlfors's univalent criteria and Ahlfors's quasiconformal extension for analytic functions to harmonic mappings defined in the unit disk. Moreover, we give…
math.CV2021
Some properties of certain close-to-convex harmonic mappings
Xiao-Yuan Wang, Zhi-Gang Wang, Jin-Hua Fan +1
In this paper, we determine the sharp estimates for Toeplitz determinants of a subclass of close-to-convex harmonic mappings. Moreover, we obtain an improved version of Bohr's ineq…