Uniqueness of derivatives of meromorphic functions sharing two or three sets
نویسندگان
چکیده
In the paper we consider the problem of uniqueness of derivatives of meromorphic functions when they share two or three sets and obtained five results which will improve all the existing results. Key word and phrases: Meromorphic functions, uniqueness, weighted sharing, derivative, shared set.
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 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 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 کاملFive-value rich lines, Borel directions and uniqueness of meromorphic functions
For a meromorphic function $f$ in the complex plane, we shall introduce the definition of five-value rich line of $f$, and study the uniqueness of meromorphic functions of finite order in an angular domain by involving the five-value rich line and Borel directions. Finally, the relationship between a five-value rich line and a Borel direction is discussed, that is, every Borel direction of $f$ ...
متن کاملA . Banerjee , S . Majumder and S . Mukherjee A UNIQUENESS RESULT ON MEROMORPHIC FUNCTIONS SHARING TWO SETS II
We employ the notion of weighted sharing of sets to deal with the well known question of Gross and obtain a uniqueness result on meromorphic functions sharing two sets which will improve an earlier result of Lahiri [15] and a recent one of Banerjee [2].
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010