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关于Hayman问题与分担值Ⅱ

A note on Hayman's problem and sharing value Ⅱ
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摘要 主要研究了亚纯函数与其高阶导数分担一个小函数的唯一性问题,获得了涉及零点重值的一些结果。 The authors study a problem of uniqueness of meromorphic functions which share a smallfunction with its derivatives, and obtain some uniqueness results dealing with nmhiple values.
作者 李运通 黄小杰 LI Yuntong;HUANG Xiaojie(Department of Basic Course,Shaanxi Railway Institute,Weinan,Shaanxi 714000,China;Department of Science,Nanchang Institue of Technology-,Nanchang,Jiangxi 330099,China)
出处 《贵州师范大学学报(自然科学版)》 CAS 2018年第6期9-11,37,共4页 Journal of Guizhou Normal University:Natural Sciences
基金 陕西省教育厅自然科学基金项目(17JK0170)
关键词 亚纯函数 唯一性 小函数 重数 Meromorphic functions Uniqueness Small function Multiplicity
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  • 3Hayman, W. K.: Meromorphic Functions, Clarendon Press, Oxford, 1964.
  • 4Gundersen, G.: Estimates for the logarithmic derivative of a meromorohic function, plus similar estimates. J. London Math. Soc., Second Set., 27, 88-104 (1988).
  • 5Gundersen, G., Yang, L. Z.: Entire functions that share one value with one or two of their derivatives. J. Math. Anal. Appl., 223, 88-95 (1998).
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  • 9Yang, L.: Value Distribution Theory, Springer-Verlag ~ Science Press, Berlin, 1993.
  • 10Zhang, J. L., Yang, L. Z.: A power of a meromorphic function sharing a small function with its derivative Ann. Acad. Sci. Fenn. Math., 34, 249-260 (2009).

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