Uniqueness of meromorphic functions sharing two finite sets

Abstract

We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross. Moreover, some examples are provided to demonstrate that all the conditions are necessary.

Keywords

• meromorphic function
• shared set
• order
• uniqueness
• 30d35
• 30d30