共查询到20条相似文献,搜索用时 31 毫秒
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In this paper, we investigate the general normality criteria for a family of meromorphic functions using a geometric method.
We obtain the necessary and sufficient conditions used for determining the normality of a family of meromorphic functions
and some normal criteria on the family of meromorphic functions with shared set by using the fundamental theorem of a covering
surface. 相似文献
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Lipei Liu 《Journal of Mathematical Analysis and Applications》2007,331(1):177-183
In this paper, we study the normality of a family of meromorphic functions and obtain some normality results for meromorphic functions, which improve and generalize the related results of Gu, Bergweiler and Lin. 相似文献
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在本文研究了亚纯函数族的正规族问题,利用Zalcman引理的方法,获得了亚纯函数族的几个正规定则.并改进了顾永兴和Bergweiler的结果. 相似文献
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In this paper, we study the normality of a family of meromorphic functions and general criteria for normality of families
of meromorphic functions.
Received: January 5, 2006
This research is supported by the National Natural Science Foundation, grant 10271122. 相似文献
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In this paper, general modular theorems are obtained for meromorphic functions and their derivatives. The related criteria
for normality of families of meromorphic functions are proved.
Research supported by the National Science Foundation of China 相似文献
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关于亚纯函数的正规准则 总被引:1,自引:0,他引:1
在本文研究了亚纯函数族的正规族的问题,利用Zalcman引理的方法,获得了涉及亚纯函数族k阶导数的例外函数的几个正规准则.并改进了顾永兴[3]等人的结果. 相似文献
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In this paper, we study the normality of the family of meromorphic functions from the viewpoint of hyperbolic metric. Then, a new sufficient and necessary condition is obtained, which can determine a given family of meromorphic functions is normal or not. 相似文献
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We establish several upper-bound estimates for the growth of meromorphic functions with radially distributed value. We also obtain a normality criterion for a class of meromorphic functions, where any two of whose differential polynomials share a non-zero value. Our theorems improve some previous results. 相似文献
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Yan Xu 《Journal of Mathematical Analysis and Applications》2007,329(2):1343-1354
In this paper, we obtain some normality criteria for families of meromorphic functions that concern the exceptional functions of derivatives. 相似文献
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In this article, we prove a normality criterion for a family of meromorphic functions having zeros with some multiplicity which involves sharing of a holomorphic function by the members of the family. Our result generalizes Montel’s normality test in a certain sense. 相似文献
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《数学物理学报(B辑英文版)》2016,(1)
We obtain some normality criteria of families of meromorphic functions sharing values related to Hayman conjecture, which improves some earlier related results. 相似文献
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K.S. Charak 《Journal of Mathematical Analysis and Applications》2009,353(1):43-48
We prove two normality criteria for a family of meromorphic functions satisfying a certain differential condition and provide a counterexample to the converse of the Bloch principle. 相似文献
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单复变中的Pang-Zalcman引理是研究亚纯函数正规族问题的重要工具.本文将该引理推广至多复变全纯函数的情形.作为应用建立了多复变全纯函数族的正规定则,改进和推广了相关结果. 相似文献
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Xu Wansong 《数学学报(英文版)》1994,10(2):215-218
This paper continues the researches of Yang Lo and others, and gives a further generalization of Gu's criterion for the normality
of a family of meromorphic functions. 相似文献
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By using the Nevanlinna theory, we prove some normality criteria for a family of meromorphic functions under a condition on differential polynomials generated by the members of the family. 相似文献