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亚纯函数与其微分多项式的值分布

On Value Distribution of Meromorphic Function & Its Differential Polynomials
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摘要 通过研究亚纯函数的Nevanlinna值分布理论问题,并结合亚纯函数的小函数,及其微分单项式和微分多项式,得到一比较有趣的关于亚纯函数的计数函数密指量和微分多项式的不等式,此不等式改进了Fang,Yang及I Lahiri和S.Dewan等学者的结果。 This paper is to, by studying Nevanlinna value distribution of meromorphic functions, its small functions, their differential Monomials and their differential polynomials, expect to obtain an interesting inequality, which is about the differential polynomials and the counting function of meromorphic functions, and this inequality will improve the results of the following scholars, Fang, Yang, I Lahiri, and S. Dewan, etc.
作者 李忠广
出处 《绵阳师范学院学报》 2011年第5期12-15,共4页 Journal of Mianyang Teachers' College
基金 菏泽学院科技计划项目(XY09JX01)
关键词 亚纯函数 小函数 微分多项式 值分布 meromorphic function differential polynomials small functions value distribution.
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参考文献7

  • 1Yang L. Value Distribution Theory[ M]. Belln :Springer- Verlag, 1993.
  • 2HAYMAN W K. Meromorphie functions [ M ]. Oxfot : Clarendon Press, 1964.
  • 3Ilpo Laine. Nevanlinna Theory and Complex Differential Equations [ M ]. Berlin and New York: Wlater de Gruyter, 1993.
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  • 7Lahiri I, Dewan S. Inequalities arising out of the value distribution of a differential monomial[ J ]. J of Inequalities Pure and Appl Math ,2003,4(2) :27.

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