Normal families of meromorphic functions sharing one function

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Normal families of meromorphic functions sharing values or functions

* Correspondence: jiangyunbo@ss. buaa.edu.cn School of Mathematics and Systems Science and LMIB, Beihang University, Beijing, 100191, People’s Republic of China Abstract In this paper, we investigate the normal families of meromorphic functions concerning shared values and shared analytic functions and prove some normal criteria that generalize or extend some results obtained by Q. C. Zhang, Y....

متن کامل

Meromorphic functions sharing one value

Let f and g be two nonconstant meromorphic functions defined in the open complex plane C. If for some a ∈ C∪ {∞}, f − a and g − a have the same set of zeros with the same multiplicities, we say that f and g share the value a CM (counting multiplicities), and if we do not consider the multiplicities, then f and g are said to share the value a IM (ignoring multiplicities). We denote by T(r) the m...

متن کامل

Uniqueness of meromorphic functions sharing one small function

In this paper, we study the uniqueness problem of nonlinear differential polynomials of meromorphic functions that share one small function a(z). Our results extend the corresponding result obtained by S.S. Bhoosnurmath and Smita R. Kabbur [16]. −−−−−−−−−−−−−−−−−−−−−−−−−−−−

متن کامل

Uniqueness 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.

متن کامل

Some Normal Criteria for Families of Meromorphic Functions

In the paper, we study the normality of families of meromorphic functions related a Hayman Conjecture. We consider whether a family meromorphic functions F is normal in D, if for each function f in F , f ′ + af = b has at most one zero, where n is a positive integer, a and b = 0 are two finite complex numbers. Some examples show that the conditions in our results are best possible.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2013

ISSN: 1029-242X

DOI: 10.1186/1029-242x-2013-288