Uniqueness and value-sharing of differential polynomials of meromorphic functions
نویسندگان
چکیده
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...
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In this paper, we deal with the uniqueness problems of meromorphic functions when certain nonlinear differential polynomials generated by them share a nonconstant polynomial counting multiplicities by considering that the functions share in nity, ignoring multiplicities. The research ndings also include IM-analogues of the theorem in which the nonconstant polynomial is allowed to be shared igno...
متن کاملUniqueness of meromorphic functions concerning differential polynomials share one value
* Correspondence: xcw919@gmail. com College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, People’s Republic of China Full list of author information is available at the end of the article Abstract 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 gi...
متن کاملUniqueness of Meromorphic Functions and Differential Polynomials
Let f be a nonconstant meromorphic function defined in the whole complex plane . It is assumed that the reader is familiar with the notations of the Nevanlinna theory such as T r, f , m r, f ,N r, f , and S r, f , that can be found, for instance, in 1–3 . Let f and g be two nonconstant meromorphic functions. Let a be a finite complex number. We say that f and g share the value a CM counting mul...
متن کاملUniqueness and value-sharing of meromorphic functions
Abstract. Concerning the uniqueness and sharing values of meromorphic functions, many results about meromorphic functions that share more than or equal to two values have been obtained. In this paper, we shall study meromorphic functions that share only one value, and prove the following result: For n ≥ 11 and two meromorphic functions f(z) and g(z) , if ff ′ and gg share the same nonzero and f...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.09.002