On meromorphic functions sharing two one-point sets and two two-point sets

Two Meromorphic Functions Sharing Sets concerning Small Functions

The main purpose of this paper is to deal with the uniqueness of meromorphic functions sharing sets concerning small functions. We obtain two main theorems which improve and extend strongly some results due to R. Nevanlinna, Li-Qiao, Yao, Yi, Thai-Tan, and Cao-Yi.

A Uniqueness Result Related to Meromorphic Functions Sharing Two Sets

With the help of a new unique range set we investigate the well known question of Gross and prove a uniqueness theorem on meromorphic functions sharing two sets. The result in this paper will improve and supplement some earlier results.

On Pre-θ-Open Sets and Two Classes of Functions

Homeomorphisms of Two-point Sets

Given a cardinal κ ≤ c, a subset of the plane is said to be a κ-point set if and only it it meets every line in precisely κ many points. In response to a question of Cobb, we show that for all 2 ≤ κ, λ < c there exists a κ-point set which is homeomorphic to a λ-point set, and further, we also show that it is consistent with ZFC that for all 2 ≤ κ < c, there exists a κ-point set X such that for ...

Meromorphic Function Sharing Two Sets with Its Difference Operator

In this paper, we investigate the relationship between a meromorphic function f(z) and its difference operator when they share two sets, and give some interesting results.