Meromorphic Function Sharing Two Sets with Its Difference Operator
نویسندگان
چکیده
In this paper, we investigate the relationship between a meromorphic function f(z) and its difference operator when they share two sets, and give some interesting results.
منابع مشابه
Uniqueness of meromorphic functions ans Q-differential polynomials sharing small functions
The paper concerns interesting problems related to the field of Complex Analysis, in particular, Nevanlinna theory of meromorphic functions. We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function. Outside, in this paper, we also consider the uniqueness of $q-$ shift difference - differential polynomials of mero...
متن کاملA Note On Uniqueness Of Meromorphic Functions And Their Derivatives Sharing Two Sets
In this paper, on the basis of a specific question raised in [6], we further continue our investigations on the uniqueness of a meromorphic function with its higher derivatives sharing two sets and answer the question affi rmatively. Moreover, we exhibit some examples to show the sharpness of some conditions used in our main result.
متن کاملOn convolution properties for some classes of meromorphic functions associated with linear operator
In this paper, we defined two classes $S_{p}^{ast }(n,lambda ,A,B)$ and\ $ K_{p}(n,lambda ,A,B)$ of meromorphic $p-$valent functions associated with a new linear operator. We obtained convolution properties for functions in these classes.
متن کاملOn uniqueness of meromorphic functions sharing five small functions on annuli
The purpose of this article is to investigate the uniqueness of meromorphic functions sharing five small functions on annuli.
متن کاملUniqueness 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 ...
متن کامل