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

  • R. Saha,
  • S. Mallick

摘要

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.