共查询到10条相似文献,搜索用时 78 毫秒
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《数学物理学报(B辑英文版)》2016,(1)
In this paper, we discuss the uniqueness problem of algebroid functions on annuli, we get several uniqueness theorems of algebroid functions on annuli, which extend the Nevanlinna value distribution theory for algebroid functions on annuli. 相似文献
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In this article, we first investigate the operational properties of algebroid functions. Then we prove two uniqueness theorems for algebroid functions. 相似文献
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《数学物理学报(B辑英文版)》2020,(4)
In this article, we discuss, by Nevanlinna theory, the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions. We get several uniqueness theorems of algebroid functions which include an at most 3 v-valued theorem. These results extend the existing achievements of some scholars. 相似文献
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In this paper,we define the shared value of an algebroid function and its derivative on its Riemann surface.By considering the relationship between the shared values and the branch points of algebroid functions and their derivatives,we obtain some uniqueness theorems of algebroid functions sharing values with their derivatives,which extend 3 IM shared values theorem of nonconstant meromorphic functions and their derivatives obtained by Mues-Steinmetz and Gundersen. 相似文献
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In this paper, we first obtain the famous Xiong Inequality of meromorphic functions on annuli. Next we get a uniqueness theorem of meromorphic function on annuli concerning to their multiple values and derivatives by using the inequality. 相似文献
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张庆彩 《数学的实践与认识》2013,43(1)
研究涉及导函数的代数体函数的唯一性.证明了设w(z)为开复平面内不可约的v值代数体函数,a_i(i=1,2,…,4v-1)为判别的有穷复数,如果w(z)与w'(z)以a_1,a_2,…,a_(4v-1),∞为IM公共值,则w(z)≡w'(z). 相似文献
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In this paper, we firstly give the definition of meromorphic function element and algebroid mapping. We also construct the algebroid function family in which the arithmetic, differential operations are closed. On basis of these works, we firstly prove the Second Main Theorem concerning small algebroid functions for v-valued algebroid functions. 相似文献
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圆环内亚纯函数分担IM集合的唯一性定理 总被引:1,自引:0,他引:1
研究圆环内亚纯函数唯一性问题,获得了两个关于亚纯函数分担集合的一般性的唯一定理,从中得到了Nevanlinna五值定理的一个类似结果. 相似文献