Value distribution of certain differential polynomials

Abstract

Abstract. We prove a result on the value distribution of differential polynomials which improves some earlier results.

Uniqueness of meromorphic functions sharing two finite sets in $${\mathbb {C}}$$ C with finite weight II

“…Definition 1.3 [9] For a ∈ C ∪ {∞} we denote by N (r, a; f |= 1) the counting function of simple a points of f . For a positive integer m we denote by N (r, a; f |≤ m) (N (r, a; f |≥ m)) the counting function of those a points of f whose multiplicities are not greater(less) than m where each a point is counted according to its multiplicity.…”

On an Open Problem of Xiao-Bin Zhang and Jun-Feng Xu

“…Definition 1. [7] Let a P C Y t8u. For a positive integer p we denote by N pr, a; f |≤ pq the counting function of those a-points of f (counted with multiplicities) whose multiplicities are not greater than p. By N pr, a; f |≤ pq we denote the corresponding reduced counting function.…”

Unique Range Set for Meromorphic Functions with Deficient Values

“…Definition 3 (see [15]). For ∈ C∪{∞} one denotes by ( , ; |= 1) the counting function of simple -points of .…”