[PDF] Top 20 Uniqueness of Meromorphic Functions of Differential Polynomials Sharing Two Values IM

... a ∈ C  ∞ , we say that f z ( ) and g z ( ) share a CM (counting multiplicities) if f z ( ) − a , g z ( ) − a have the same zeros with the same multiplicities and we say that f z ( ) and g z ( ) share a (ignoring multip- ... See full document

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

... some uniqueness theorems of two transcendental meromorphic functions with their nonlinear di ff erential polynomials sharing a small ... See full document

... and uniqueness of com- plex difference polynomials of meromorphic ...of meromorphic functions are used (see [, ...a meromorphic function f , we use S(r, f ) to denote any ... 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 given by Fang (Math. ... See full document

... Uniqueness of Meromorphic Functions Concerning Differential Monomials* Hui Huang, Bin Huang College of Mathematics, Changsha University of Science and Technology, Changsha, China E-mail:[r] ... See full document

... Abstract In this paper we deal with the uniqueness of meromorphic functions when two nonlinear differential polynomials generated by two meromorphic functions share a small function.. Ke[r] ... 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

... 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 ... See full document

... distinct IM shared values in X ...the uniqueness of meromorphic functions with shared values in the whole complex plane attracted many investigations see ...of uniqueness ... See full document

... Considering Theorems E and F, it will be pertinent to extend the theorems in the direc- tion of Theorem 1.1. In this respect, in the following theorem, we see that at the expense of allowing the sharing of {∞} ... See full document

... It is well known that if f and g share four distinct values CM, then f is a fractional transformation of g. In 1997, corresponding to one famous question of Hayman, C. C. Yang and X. H. Hua showed the similar ... See full document

... Deparment of Mathematics, Karnatak University, Dharwad, Karnataka state, India E-mail address : [email protected].[r] ... See full document

... We write ” f ,g share (a, k) ” to mean that ” f ,g share the value a with weight k”. Clearly if f , g share (a, k) then f , g share (a, p) for any integer p, 0 ≤ p < k. Also we note that f , g share a value a ... See full document

... be two nonconstant entire functions, and let n, m, k be three positive integers such that n > 5k 4m ...1 IM, then either fz ≡ gz or f and g satisfy the algebraic equation Rf, g ≡ 0, where Rω 1 , ω ... See full document

... Let f z ( ) be a non constant meromorphic function in the whole complex plane  . We will use the following standard notations of value distribution theory: T r f ( , ) ( , m r f , ) ( , N r f , ) ( , N r f , ) , ... See full document

... The uniqueness of meromorphic functions sharing values with their shifts or difference operators has become a subject of great interest ...value sharing problems for shifts of ... 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 value ... 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

... of meromorphic functions (see ...the uniqueness results of difference polynomials of meromorphic functions, their shifts and difference operators (see ...q-shift ... See full document