Value-sharing of meromorphic functions on a Riemann surface
نویسندگان
چکیده
منابع مشابه
Value-sharing of meromorphic functions on a Riemann surface
We present some results on two meromorphic functions from S to Ĉ sharing a number of values where S is a Riemann surface of one of the following types: compact, compact minus finitely many points, the unit disk, a torus, the complex plane. Mathematics Subject Classification (2000): 30D35, 30F10
متن کاملMeromorphic 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 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.
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...
متن کاملMeromorphic Functions on Certain Riemann Surfaces
1. Throughout the paper we shall denote by R a Riemann surface. For a domain Í2 in P, we represent by AB(Q) the class of all the singlevalued bounded analytic functions on the closure Ü. For a meromorphic function / on a domain ß, we use the notation viw\f, Q.) to express the number of times that/ attains w in ß. Definition 1. We say that REWIb if the maximum principle suplen \fip)\ =sup3,ean \...
متن کاملذخیره 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 Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.10.041