Meromorphic Functions Sharing Two Values.

Let f and g be two nonconstant meromorphic functions, and n be a positive integer. If fⁿ(z) and gⁿ(z) share 1 CM (counting multiplicities), f(z) and g(z) share ∞ IM (ignoring multiplicities), and ... + ... = S(r,f) + S(r,g), then either f(z) = tg (z) or f(z)g(z)=t, where tⁿ = 1. As an application, shared values problems of a meromorphic function related to its shifts and difference operators are also investigated. [ABSTRACT FROM AUTHOR]