Entire functions sharing one finite value with their derivatives in some angular domains

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Xiao-Min Li¹  Xue-Feng Liu¹  Hong-Xun Yi² 

[1] Department of Mathematics, Ocean University of China;Department of Mathematics, Shandong University

关键词: Liouville numbers;    Diophantine numbers;    continued fraction.;   

DOI  :  10.3792/pjaa.92.41

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We study the uniqueness question of transcendental entire functions sharing one finite nonzero value with their derivatives in some angular domains instead of the whole complex plane. The results in the present paper improve and extend the corresponding results from Chang-Fang~[2] and extend Theorem 3 from Zheng~[15]. An example is provided to show that the results in this paper, in a sense, are best possible.

【 授权许可】

Unknown