On the Riesz Uniqueness Theorem for Functions of Nearly Bounded Characteristics.
On the Ritt order of a certain class of functions.
On the shared values of entire functions and their partial differential polynomials in Cn*.
On the sharpness of the Stolz approach.
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 size of the exceptional set in Nevanlinna's second fundamental theorem for meromorphic functions in the unit disc.
On the Spherical Derivative of a Meromorphic Function with a Valiron Deficient Value.
On the Spherical Derivative of an Entire Function.
On the two questions of Lohwater and Piranian.
On the type of highly integer valued entire functions.
On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative
In the paper we discuss the uniqueness of the -th power of a meromorphic function sharing a small function with the power of its -th derivative and improve and supplement a result of Zhang-Lü [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math. J. 50 (2010), no. 1, 71–80] dealing with a question posed by T.D. Zhang and W.R. Lü in [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867].
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 the uniqueness of meromorphic functions sharing three weighted values
On the uniqueness of meromorphic functions that share three sets
With the aid of the notion of weighted sharing and pseudo sharing of sets we prove three uniqueness results on meromorphic functions sharing three sets, all of which will improve a result of Lin-Yi in Complex Var. Theory Appl. (2003).
On the Valiron deficiencies of oriented functions.
On the Value Distribution of a Certain Type of Differential Polynomials.
On the value distribution of differential polynomials of meromorphic functions
Let f be a transcendental meromorphic function of infinite order on ℂ, let k ∈ ℕ and , where R ≢ 0 is a rational function and P is a polynomial, and let be holomorphic functions on ℂ. If all zeros of f have multiplicity at least k except possibly finitely many, and , then has infinitely many zeros.
On the value distribution of .
On the value distribution of .
On the Value Distribution Theory of Elliptic Functions.