منابع مشابه
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...
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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 of meromorphic functions sharing one value with their derivatives
In the paper we deal with the uniqueness problem of meromorphic functions sharing a finite value with their derivatives. The results in this paper improve those given by Lahiri-Sarkar, Liu-Yang and others. In addition, a recent result of the first present author is complemented in this paper.
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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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
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.3587