Uniqueness of $$\boldsymbol{L}$$ -Functions and General Meromorphic Functions in Light of Two Shared Sets

Abstract

In this paper, we have dealt with the uniqueness problem of a general meromorphic function with \(\mathcal{L}\) function in terms of two shared sets. In our main theorem, we deal with general meromorphic functions instead of meromorphic functions having finitely many poles. As a corollary of our main theorem, we have shown that our result not only fills the gap of some theorems of [3] and [1] for \(m=n-1\) but also reduces the cardinality of the main range set and hence our result significantly improves all the results in this direction.