Meromorphic functions in the unit disc that share slowly growing functions in an angular domain

Uniqueness of meromorphic functions dealing with multiple values in an angular domain

This paper uses the Tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of J. Zheng.

Slowly growing meromorphic functions and the zeros of differences

Let f be a function transcendental and meromorphic in the plane with lim inf r→∞ T (r, f) (log r)2 = 0. Let q ∈ C with |q| > 1. It is shown that at least one of the functions F (z) = f(qz)− f(z), G(z) = F (z) f(z) has infinitely many zeros. This result is sharp. MSC 2000: 30D35.

uniqueness of meromorphic functions dealing with multiple values in an angular domain

this paper uses the tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of j. zheng.

The Unique Range Set of Meromorphic Functions in an Angular Domain

By using Tsuji's characteristic, we investigate uniqueness of meromorphic functions in an angular domain dealing with the shared set, which is different from the set of the paper (Lin et al., 2006) and obtain a series of results about the unique range set of meromorphic functions in angular domain.

Cluster Sets of Functions Meromorphic in the Unit Circle.