3 papers
math.CV2025
On Koebe-type functions for harmonic quasiconformal mappings
Zhi-Gang Wang, Jia-Le Qiu, Antti Rasila
This paper studies a class of Koebe-type harmonic quasiconformal functions. It is motivated by the shear construction of Clunie and Sheil-Small [Ann. Acad. Sci. Fenn. Ser. A I Math…
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.MG2010
On Edwards-Child's inequality
Yudong Wu, Zhihua Zhang, Zhigang Wang
In this paper, by making use of one of Chen's theorems and the method of mathematical analysis, we refine Edwards-Child's inequality and solve a conjecture posed by Liu.