[PDF] Top 20 Uniqueness of meromorphic functions concerning differential polynomials share one value

... non-constant meromorphic functions and let a be a finite com- plex ...g share a CM, provided that f - a and g - a have the same zeros with the same ...g share a IM, pro- vided that f - a and g ... See full document

... the value distribution of a meromorphic function f (z) concerning its derivative f (z) and q-shift difference f (qz + c), where f(z) is of finite logarithmic ...the uniqueness of ... See full document

... the value distribution of dif- ferential polynomial f n (f − 1)f 0 , Fang [15] showed that f n (f − 1)f 0 assumes every non-zero value a ∈ C infinitely often for n ≥ ...following uniqueness theorem ... 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

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

... a uniqueness theorem of meromorphic functions whose some nonlinear differential shares 1 IM with powers of the meromor- phic functions, where the degrees of the powers are equal 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

... of uniqueness of functions which are meromorphic in a multiply-connected domain–k-punctured complex plane ...of meromorphic function and established the famous first and second main theorem, ... 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

... Given specific values of s in Theorems 3.1–3.3, we can compare n in the two conditions of n and s and see that the second condition is always better than the first one for s ≥ 3. For example, we consider (n – 4)s ≥ ... 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

... [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

... 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

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

... of Meromorphic functions is an important part of Nevan- linna ...the uniqueness of meromorphic functions sharing values with their shifts or difference ... 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

... 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

... 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