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Sheng Li 《Results in Mathematics》2013,63(3-4):965-971
Let f be a nonconstant meromorphic function such that ${\overline{N}(r, f) < \lambda T(r, f)}$ , where ${\lambda \in [0, \frac{1}{9})}$ , and let a, b be two distinct finite values. If f and f′ share a, b IM, then ${f \equiv f'}$ . 相似文献
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Meromorphic Functions Sharing Two Values 总被引:2,自引:0,他引:2
By using the idea of weighted sharing of values, the problem of uniqueness of meromorphic functions that share two values is studied. The results in this paper improve some theorems given by M. Ozawa and Yi Hongxun et al. 相似文献
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By using the idea of weighted sharing of values, the problem of uniqueness of meromorphic functions that share two values is studied. The results in this paper improve some theorems given by M.Ozawa and Yi Hongxun et al. 相似文献
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In this note, we proved a theorem concerning two meromorphic functions that share four values, which generalizes the Nevanlinna’s four-value theorem.AMS Subject Classification (2000): 30D35.Supported by the National Science Foundation of PRC. 相似文献
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对给定的复数a,本文引入一个用来刻画两个亚纯函数的重数相同的公共a值点的比重的量τk,并把有关这一量与拟亏量或者权分担相结合的条件附加到两个具有四个分担值的亚纯函数上,得到了两个关于亚纯函数唯一性的定理. 相似文献
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本文证明了:对具有两个Borel例外值a(∈C)和b(∈C∪{∞})的有限级超越亚纯函数,如果f(z+η)-f(z)和f(z)CM分担a,b,其中η(∈C)满足f(z+η)■f(z),那么b=∞,a=0且f(z)=ce~(c_1z),其中c,c_1为非零常数. 相似文献
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本文研究了亚纯函数涉及重值分担小函数的唯一性问题, 通过构造辅助函数, 特别是通过深入分析计数函数, 我们得到一些结果, 所得结果推广了一些学者的已有成果. 相似文献
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进一步研究了具有三个cM公共值的亚纯函数的唯一性,改进了H.Ueda和仪洪勋等人的有关结果. 相似文献
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A problem of meromorphic functions that share two values is discussed, and two results recently obtained respectively by Yi H. X. and Song G. D. & Li N. are improved. 相似文献
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Analysis Mathematica - We study the finiteness and the uniqueness of families of meromorphic functions with finite growth index on a complex disc Δ(R) (0 < R ≤ + ∞) sharing... 相似文献
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具有两个IM公共值集的亚纯函数 总被引:4,自引:0,他引:4
本文讨论了亚纯函数的唯一性问题,证明了存在一个具有13个元素的集合S使得对任意两个非常数的亚纯函数f与g,只要满足E(S,f)=E(S,g)和E({∞),f)=E({∞},g),必有f≡g. 相似文献
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Let F be a family of meromorphic functions in D,and let Ψ(≠0) be a meromorphic function in D all of whose poles are simple.Suppose that,for each f ∈F,f≠0 in D.If for each pair of functions {f,g}(?) F,f' and g' share Ψ in D,then F is normal in D. 相似文献
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MeromorphicFunctionswithTwoDeficientValuesXuWansong(徐万松)(CollegeofSciences,NanjingUniversityofAeronauticsaadAstronautics,Nanj... 相似文献