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Abstract: In this paper, we will prove some uniqueness theorems of meromorphic functions whose derivatives share four distinct small functions. The results in this paper improve those given by R. Nevanlinna, L. Yang, G.D. Qiu, and other authors. An example is provided to show that the results in this paper are best possible. [Copyright &y& Elsevier]

Abstract: The main purpose of this paper is to investigate the oscillation theory of meromorphic solutions of the second order linear differential equation for the case where A is meromorphic in the unit disc . [ABSTRACT FROM AUTHOR]

Abstract: This paper is devoted to studying the relationship between an entire function and its derivative when they share one small function. We generalize some previous results of Gundersen and Yang [G. Gundersen, L.Z. Yang, Entire functions that share one value with one or two of their derivatives, J. Math. Anal. Appl. 223 (1998) 85–95], Chang and Zhu [J. Chang, Y. Zhu, Entire functions that share a small function with their derivatives, J. Math. Anal. Appl. 351 (2009) 491–496]. [Copyright &y& Elsevier]

Abstract: In this paper, we investigate the uniqueness of meromorphic functions in the unit disc and consider the relation between the Borel points and shared-values of meromorphic functions in an angular domain. [Copyright &y& Elsevier]

Abstract: The main purpose of this paper is to investigate the uniqueness of transcendental meromorphic functions that share four values in one angular domain which is an unbounded subset of the whole complex plane. From one of our main results, a question of J.H. Zheng [J.H. Zheng, On uniqueness of meromorphic functions with shared values in one angular domain, Complex Var. Elliptic Equ. 48 (9) (2003) 777–785] is completely answered. Furthermore, we give an example to explain the necessity of the condition in our results. [Copyright &y& Elsevier]

Abstract: This research is a continuation of a recent paper due to the first four authors. Shared value problems related to a meromorphic function and its shift , where , are studied. It is shown, for instance, that if is of finite order and shares two values CM and one value IM with its shift , then f is a periodic function with period c. The assumption on the order of f can be dropped if f shares two shifts in different directions, leading to a new way of characterizing elliptic functions. The research findings also include an analogue for shifts of a well-known conjecture by Brück concerning the value sharing of an entire function f with its derivative . [Copyright &y& Elsevier]

Abstract: In this paper, we consider some normality criterion concerning shared values. Let be a family of meromorphic functions defined in a domain . Let be positive integers and be a finite complex number. If and share a in for every pair of functions , then is normal in . [Copyright &y& Elsevier]

Abstract: In this paper, we study the normality of a family of meromorphic functions and obtain some normality results for meromorphic functions, which improve and generalize the related results of Gu, Bergweiler and Lin. [Copyright &y& Elsevier]

Abstract: This paper studies the idea of weighted sharing and proves two main theorems which generalize some results given by G. Brosch, Q. Zhang and other authors. [Copyright &y& Elsevier]

Abstract: In this paper, we find all the forms of meromorphic functions that share the value 0 , and share with . And , and () be small functions with respect to . As an application, we show that some of nonlinear differential equations have no transcendental meromorphic solution. [Copyright &y& Elsevier]