Borel Directions and the Uniqueness of Algebroid Functions Dealing with Multiple Values

Pub Date : 2021-04-14 DOI:10.1556/012.2021.58.1.1488
Y. Tan, Qingcai Zhang
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Abstract

In this paper, we investigate the uniqueness of algebroid functions in angular domain by the method of conformal mapping. We discuss the relations between the Borel directions and uniquenss with the multiple values of algebroid functions and obtain some results which extend some uniqueness results of meromorphic functions to that of algebroid functions.
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多值代数函数的Borel方向和唯一性
本文用保角映射的方法研究了代数函数在角域上的唯一性。讨论了代数函数多值的Borel方向与唯一性的关系,得到了一些结果,将亚纯函数的唯一性推广到代数函数的唯一性。
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