On the relation between the sets of deficiency values and deviations for meromorphic functions of finite order.
On the singularities of the inverse to a meromorphic function of finite order.
Our main result implies the following theorem: Let f be a transcendental meromorphic function in the complex plane. If f has finite order ρ, then every asymptotic value of f, except at most 2ρ of them, is a limit point of critical values of f.We give several applications of this theorem. For example we prove that if f is a transcendental meromorphic function then f'fn with n ≥ 1 takes every finite non-zero value infinitely often. This proves a conjecture of Hayman. The proof makes use of the iteration...
On the Spherical Derivative of a Meromorphic Function with a Valiron Deficient Value.
On the Spherical Derivative of an Entire Function.
On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial
We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.
On two new functional equations for generalized Joukowski transformations
The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function of a complex variable z.
On uniqueness of meromorphic functions sharing three values and a set consisting of two small meromorphic functions
We deal with a uniqueness theorem of two meromorphic functions that share three values with weights and also share a set consisting of two small meromorphic functions. Our results improve those by G. Brosch, I. Lahiri & P. Sahoo, T. C. Alzahary & H. X. Yi, P. Li & C. C. Yang, and others.
On uniqueness theorems of meromorphic functions concerning weighted sharing of three values.