Unicity theorem for entire functions sharing one value
نویسندگان
چکیده
منابع مشابه
Further Results on Uniqueness of Entire Functions Sharing One Value
In this paper, we study the uniqueness problems of entire functions sharing one value with weight l (l = 0,1,2). The results in this paper improve the related results given by X.Y. Zhang and W.C. Lin, M.L. Fang, C.C. Yang and X.H. Hua, etc.
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 Entire or Meromorphic Functions Sharing One Value or a Function with Finite Weight
The purpose of this paper is to deal with some uniqueness problems of entire functions or meromorphic functions concerning differential polynomials that share one value or fixedpoints with finite weight. We obtain a number of theorems which generalize some results due to M.L. Fang & X.H. Hua, X.Y. Zhang & W.C. Lin, X.Y. Zhang & J.F. Chen and W.C. Lin.
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 کاملA Theorem on Entire Functions
Let G(k) = ∫ 1 0 g(x)e kxdx, g ∈ L1(0, 1). The main result of this paper is the following theorem. THEOREM 1. There exists g 6≡ 0, g ∈ C∞ 0 (0, 1), such that G(kj) = 0, kj < kj+1, limj→∞ kj =∞, limk→∞ |G(k)| does not exist, lim supk→+∞ |G(k)| = ∞. This g oscillates infinitely often in any interval [1− δ, 1], however small δ > 0 is. MSC: 30D15, 42A38, 42A63
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ژورنال
عنوان ژورنال: Filomat
سال: 2013
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1305797s