This paper studies the Schlicht Bloch Constant and consists of two parts. In the first, certain qualitative properties of extremal functions ate given. In particular, it is proved that for an extremal function, there always is an extremal disc. In the second, a new explicit numerical bound .57088 for the Schlicht Bloch Constant is given, improving earlier results.
机构:
Department of Mathematics and Physics, Information Engineering, Zhejiang Normal UniversityDepartment of Mathematics and Physics, Information Engineering, Zhejiang Normal University
Xiaohui ZHENG
Jianfei WANG
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机构:
Department of Mathematics and Physics, Information Engineering, Zhejiang Normal UniversityDepartment of Mathematics and Physics, Information Engineering, Zhejiang Normal University