Value-Sharing and Uniqueness of Entire Functions
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.
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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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In this paper, we deal with some uniqueness theorems of two transcendental meromorphic functions with their non-linear differential polynomials sharing a small function. These results in this paper improve those given by of Fang and Hong [M.L.Fang and W.Hong,A unicity theorem for entire functions concerning differential polynomials,Indian J.Pure Appl.Math.32.(2001),No.9,1343-1348.], I.Lahiri an...
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and Applied Analysis 3 From the ideas of Theorem D to Theorem F, it is natural to ask whether the values a, b in Theorem C can be replaced by two polynomials Q1, Q2. The main purpose of this paper is to investigate this problem. We prove the following result. Theorem 1.2. Let Q1 z a1z a1,p−1zp−1 · · · a1,0 and Q2 z a2z a2,p−1zp−1 · · · a2,0 be two polynomials such that degQ1 z degQ2 z p (where ...
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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.
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2015
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-015-1059-3