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微分多项式的值分布(英文) 被引量:2

VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS
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摘要 文[2-6]讨论了亚纯函效或代数体函数的微分多项式  及  的例外值问题。本文利用代效体函数的Nevanlinna值分布理论方法,研究了代数体函数的微分多项式的Picard值问题.推广了他们的结果。 Some authors had investigated the problem of exceptional value of differential polynomials w'(z)-aw(?)(z) and w'(z)w(?)(z) of meromorphic (or algebroid) functions in the paper [2-6].Applying the techniques from Nevanlinna theory of value distribution theory of algebroid functions,we deal with the problem of Picard values of differential polynomials P and of algebroid functions, and generalize their results.
作者 高凌云
机构地区 暨南大学数学系
出处 《数学杂志》 CSCD 北大核心 2003年第1期59-63,共5页 Journal of Mathematics
基金 Supported by National Natural Science Foundation of China(19971052).
关键词 代数体函数 值分布 微分多项式 亚纯函数 algebroid functions, the vale distribution, differential polynomials.
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参考文献6

  • 1He Yuzan and Xiao Xiu zhi, Algbroidfunctions and ordinary differential equations[M]., Peking:Science Press, 1998.
  • 2W., Hayman Picard values of meromorphic functions and their derivatives[J], Ann. ofMath.,1959,70:9-42.
  • 3Doeringer, W., Exceptional Values of differential polynomials[J], PacificJ.Math.,1982,98:55-62.
  • 4Ao Hailong, The picard values of Meromorphic functions and their derivatives[J],Advences in Math.m1988,17:415-422.
  • 5Yi Hongxun, On some resuits of differential polynomials[J], Acta Math.Sinica,1990,33:302-308.
  • 6K.Katajamaki, Value distrbution of some differential polynomials of entirealgebraid functions[J],Complex Variables, 1996,30:135-144.

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