UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING ONE VALUE
نویسندگان
چکیده
منابع مشابه
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.
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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.
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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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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 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]. −−−−−−−−−−−−−−−−−−−−−−−−−−−−
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2012
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972711003261