Uniqueness of Entire Functions concerning Difference Operator

Uniqueness Theorems of Difference Operator on Entire Functions

A function f(z) is called meromorphic, if it is analytic in the complex plane except at poles. It is assumed that the reader is familiar with the standard symbols and fundamental results of Nevanlinna theory such as the characteristic function T(r, f), and proximity function m(r, f), counting function N(r, f) (see [1, 2]). In addition we use S(r, f) denotes any quantity that satisfies the condi...

Uniqueness of Meromorphic Functions Concerning Differential Monomials

Considering the uniqueness of meromorphic functions concerning differential monomials ,we obtain that, if two non-constant meromorphic functions   f z and   g z satisfy     1, 1, n n k k E f f E g g    , where k and n are tow positive integers satisfying 3 k  and 11 n  , then either     1 2 , cz cz z z f c e g c e    where 1 c , 2 c , c are three constants, satisfying   1 ...

Entire functions sharing a small entire function‎ ‎with their difference operators

In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, ...

Uniqueness of entire functions sharing two values with their difference operators

Uniqueness of difference operators of meromorphic functions

* Correspondence: [email protected]. com School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China Full list of author information is available at the end of the article Abstract In this article, we investigate the uniqueness problems of difference operators of two meromorphic functions. Uniqueness of a meromorphic function f and its difference operator with the ...