Shared Values for Meromorphic Functions

Normal Criteria for Families of Meromorphic Function concerning Shared Values

Let k be a positive integer and let F be a family of meromorphic functions in the plane domain D all of whose zeros with multiplicity at least k. Let P = apz p + · · ·+a2z +z be a polynomial, ap, a2 6= 0 and p = deg(P ) ≥ k+2. If, for each f, g ∈ F , P (f)G(f) and P (g)G(g) share a non-zero constant b in D, where G(f) = f (k) + H(f) be a differential polynomial of f satisfying w deg |H ≤ k l+1 ...

Transcendental Meromorphic Functions with Three Singular Values

Every transcendental meromorphic function f in the plane which has only three critical values satisfies lim inf r→∞ T (r, f) log r ≥ √ 3

Uniqueness of Meromorphic Functions Sharing Values

In this paper, we investigate the problem of the uniqueness of meromorphic function sharing values. It is turned out that our results are natural extensions of Q. C. Zhang and G. G. Gundersen.

Meromorphic Functions Sharing Three Values with Weights

Using the idea of weighted sharing of values, we prove some uniqueness theorems for meromorphic functions which improve some existing results. Moreover, examples are provided to show that some results in this paper are sharp.

A Note on Normal Families of Meromorphic Functions Concerning Shared Values