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

Abstract

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.