A new example of meromorphic functions sharing four values and a uniqueness theorem

Abstract

Let f and g be nonconstant meromorphic functions sharing four values a 1,…a 4. If every simple a v -point of f is an a v -point of f with multiplicity at least three (v=1, …,4) then f=L∘F∘,h and g=L∘G∘,h, where L is a Mobius transformationh is an entire function and F and G are given pair of elliptic functions sharing the values 0, 1, ∞ and -1 DM.