A note on uniqueness of meromorphic functions sharing two singleton sets related to a question of Chen


Abhijit Banerjee, Arpita Kundu




In this article we study the uniqueness problem of a special class of meromorphic functions sharing two singleton sets Our result will provide the best possible answer of a question made in [1] as well as in [2] to date, which radically improves all the results of [1] and [2] and in turn answers a question of [8] as well. We have also proposed two questions relevant to our result. Some examples have been shown by us to show that certain conditions used in the paper can not be dropped.In this article we study the uniqueness problem of a special class of meromorphic function sharing two singleton sets.