2 citations · 3 across the 10 of their papers we have counts for
10 papers
On quadratic Siegel disks with a class of unbounded type rotation numbers
Hongyu Qu, Jianyong Qiao, Guangyuan Zhang
In this paper we explore a class of quadratic polynomials having Siegel disks with unbounded type rotation numbers. We prove that any boundary point of Siegel disks of these polyno…
Movement of branch points in Ahlfors' theory of covering surfaces
Yun-Ling Chen, Tian-Run Lin, Guang-Yuan Zhang
In this paper, we will prove a result which is used by Guang-Yuan Zhang in another paper in which the existence of extremal surfaces for covering surfaces is proved and the sharp f…
The precise form of Ahlfors' second fundamental theorem
GUang-Yuan Zhang
Ahlfors Second Fundamental Theorem of covering surfaces over the Riemann sphere are one of the major events in the history of function theory, which is a geometrical interpretation…
A finite theorem for Ahlfors' covering surface theory
Tian-Run Li, Yun-Ling Chen, Guang-Yuan Zhang
Ahlfors' theory of covering surfaces is one of the major mathematical achievement of last century. The most important part of his theory is the Second Fundamental Theorem (SFT). We…
Branch values in Ahlfors' theory of covering surfaces
Zonghan Sun, Guangyuan Zhang
In the study of the constant in Ahlfors' second fundamental theorem involving a set E_{q} of q points, branch values of covering surfaces outside E_{q} bring a lot of troubles. To…
The best bound of the area--length ratio in Ahlfors Covering surface theory (I)
Guang Yuan Zhang
In Ahlfors' covering surface theory, it is well known that there exists a positive constant such that for any nonconstant holomorphic mapping if $f(Δ)\cap \{0…