On the uniqueness theorems of meromorphic functions with weighted sharing of three values

Abstract

In this paper, we deal with the problem of uniqueness and weighted sharing of two meromorphic functions with their first derivatives having the same fixed points with the same multiplicities. The results in this paper improve those given

Nevanlinna’s Five Values Theorem on Annuli

“…Yi, X.M. Li and A. Banerjee (including [3,[6][7][8]) studied the uniqueness for meromorphic functions on the whole complex plane sharing one, two, three or some sets; M.L. Fang, H.F. Liu, Z.Q.…”