Meromorphic functions sharing three values with their derivatives in an angular domain

Abstract

Abstract In this paper, we investigate the problem of uniqueness transcendental meromorphic functions sharing three values with their derivatives in an arbitrary small angular domain including a singular direction. The obtained results extend the corresponding results from Gundersen, Mues–Steinmetz, Zheng, Li–Liu–Yi, and Chen.

Keywords

• Meromorphic function
• Shared value
• Uniqueness theorems
• Singular direction