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涉及例外函数的正规定则

Normal Families of Meromorphic Functions and Multiple Values
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摘要 讨论了一个涉及例外函数的亚纯函数正规定则,一定程度上推广和改进了方明亮^([2])等人的相关结果. In this paper, we discuss the normal families of meromorphic functions related to the exceptional functions, which generalize and improvement the related results due to Fang[2] in some extent.
作者 赵利娟
出处 《数学物理学报(A辑)》 CSCD 北大核心 2015年第2期256-263,共8页 Acta Mathematica Scientia
基金 南京铁道职业技术学院院级课题(Y14031)资助
关键词 亚纯函数 正规族 例外函数 Meromorphic functions Normal family Exceptional functions.
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参考文献16

  • 1Bergweiler W. Normality and exceptional values of derivatives. Proc Amer Math Soc, 2000, 129(1): 121--129.
  • 2Fang M L. Criteria for normality of a family of meromorphic functions. Acta Math Sin, 1994, 37(1): 86-90.
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二级参考文献13

  • 1Gu Y. X., A normal criterion of meromorphic families, Scientia Sinica, Math., 1979, Issue I: 267-274.
  • 2Hayman W. K., Research Problems in Function Theory, London: Athlone Press, 1967.
  • 3Miranda C., Sur un nouveau critere de normalite pour les familles de fonctions holomorphes, Bull. Soc. Math. France, 1935, 35:185-196.
  • 4Schwick W., Normality criteria for fumilies of meromorphic functions, J. Analyse Math., 1989, 52: 241-289.
  • 5Bergweiler W., Langley J. K., Nonvanishing derivatives and normal families, J. Analyse Math., 2003, 91: 353-367.
  • 6Bergweiler W., Normality and exceptional values of derivatives, Proc. Amer. Math. Soc., 2000, 129(1): 121-129.
  • 7Fang M. L., Chang J. M., Normal families and multiple values, Arch. Math., 2007, 88:560-568.
  • 8Xia J. Y., Xu Y., Normal families of meromorphic functions with multiple values, J. Math. Anal. Appl., 2009, 354: 387-393.
  • 9Hayman W. K., Meromorphic Functions, Oxford: Clarendon Press, 1964.
  • 10Yang L., Value Distribution Theory, Berlin: Springer-Verlag & Science Press, 1993.

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