[PDF] Top 20 Uniqueness of Meromorphic Functions Whose Differential Polynomials Share One Value

... tained f − 1 . So we expended Xiaomin Li and Zhitao Wen’s theorem. In 2008, Lianzhong Yang and Jilong Zhang proved the following theorems: Theorem A [4] Suppose f is a non-constant entire function, n ≥ 7 is a posi- tive ... See full document

... and uniqueness of com- plex difference polynomials of meromorphic ...Nevanlinna value distribution theory of meromorphic functions are used (see [, ...a meromorphic ... See full document

... In this article, we shall study the uniqueness problems on meromorphic functions sharing nonzero finite value or having fixed points. Our results extend the corresponding results of Fang and ... See full document

... In this paper, we study the uniqueness of meromorphic functions whose differential polynomial share a non-zero finite value. The results in this paper improve some results ... See full document

... a meromorphic function play key roles in the construction and applications of classical Nevanlinna ...the value distribution of zeros of difference operators that can be viewed as discrete analogues of the ... See full document

... non-constant meromorphic functions, , n k be two positive integers with n > + k 2 , and let P w ( ) be defined as in ...g share ∞ IM, then P w ( ) is reduced to a nonzero ... See full document

... can be relaxed. In this paper we investigate this problem and prove the following result. Theorem . Let F be a family of meromorphic functions defined in D, k be a positive integer, let h(z) be a ... See full document

... poles of f(z) with multiplicities  k , and by N k )  r f ,  the corresponding one for which the multiplicity is not counted. Let N (k  r f ,  be the counting function for poles of f(z) with multiplicities  k ... See full document

... A meromorphic function means meromorphic in the whole complex ...that meromorphic functions f and g share a finite value a IM ignoring multiplicities when f − a and g − a have ... See full document

... [7] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J. and Zhang, J. (2009) Value Sharing Results for Shifts of Meromorphic Functions, and Sufficient Conditions for Periodicity. Journal of ... See full document

... the uniqueness of an entire function sharing one finite value with its ...entire functions of finite order sharing a periodic small function to f ...of meromorphic functions of ... See full document

... Recently, a number of papers have focused on the Nevanlinna theory with respect to difference operators; see, e.g., the papers [, ] by Chiang and Feng and [, ] by Halburd and Korhonen. Then, many authors started to ... See full document

... In recent years, there has been an increasing interest in studying difference equations, difference products and q-differences in the complex plane C , and a number of papers (including [–]) have focused on the ... See full document

... : Value distribution of the difference opera- tor, Advances in Difference equations, ...X.H.: Uniqueness and value sharing of meromorphic functions, ... See full document

... The uniqueness theory of meromorphic functions mainly studies conditions under which there is a unique function satisfying the given ...two meromorphic functions while their derivatives ... See full document

... the value distribution theory [4]. For any nonconstant meromorphic function f (z) on the complex plane C, we denote by S(r, f ) any quantity satisfying S(r, f ) = o(T(r, f )) as r → ∞ except possibly for a ... See full document

... meromorphic functions. Let a be a finite complex number. We say that f and g share the value a CM counting multiplicities if f − a and g − a have the same zeros with the same multiplicities, ... See full document

... constant meromorphic function in the whole complex plane  ...of value distribution theory: T r f ( , ) ( , m r f , ) ( , N r f , ) ( , N r f , ) ,  (see [2] ... See full document

... g share four distinct values CM, then f is a fractional transformation of ...to one famous question of Hayman, ...of differential polynomials when they share only one ... See full document

... a meromorphic function always mean a function which is meromorphic in the whole complex plane C ...of meromorphic functions as explained in ...nonconstant meromorphic functions, ... See full document