Uniqueness and differential polynomials of meromorphic functions sharing one value
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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* 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 sharing one value
In this paper, we discuss the problem of meromorphic functions sharing one value and obtain two theorems which improve a result of C.C.Yang and X.H.Hua.
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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...
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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...
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ژورنال
عنوان ژورنال: Filomat
سال: 2011
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1101185x