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涉及导数的亚纯函数的惟一性 被引量:1

On uniqueness of derivatives of meromorphic functions
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摘要 研究了亚纯函数及其导数分担一个公共值的惟一性问题,所得结果推广了Fang M,Yang C以及Xu Y等人的相关定理。 The uniqueness of derivatives of meromorphic functions sharing one common value was discussed. Some results obtained extend and improve the theorems given by Fang M, Yang C and Xu Y, et al.
出处 《中国石油大学学报(自然科学版)》 EI CAS CSCD 北大核心 2007年第6期130-134,共5页 Journal of China University of Petroleum(Edition of Natural Science)
基金 国家自然科学基金资助项目(10371065)
关键词 亚纯函数 导数 分担值 惟一性 meromorphic function derivatives shared value uniqueness
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参考文献9

  • 1吕巍然,王珺.具有三个公共值亚纯函数惟一性问题的注记[J].石油大学学报(自然科学版),2004,28(1):119-121. 被引量:6
  • 2王清河,吕巍然.具有五个公共值的亚纯函数[J].石油大学学报(自然科学版),2004,28(4):141-143. 被引量:5
  • 3王清河,常秦,吕巍然.微分单项式的值分布[J].中国石油大学学报(自然科学版),2006,30(5):135-137. 被引量:2
  • 4CLUNIE J. On a result of Hayman [ J ]. J London Math Soc, 1967,46:389-392.
  • 5FANG M, HUA X. Entire functions that share one value [ J]. Journal of Nanjing University Mathematical Biquarterly, 1996,13(1) :44-48.
  • 6YANG C, HUA X. Uniqueness and value-sharing of meromorphic functions [ J ]. Ann Acad Sci Ferm Math, 1997,22 : 395-406.
  • 7XU Y, QU H. Entire functions sharing one value IM [ J ]. Indian J Pure Appl Math, 2000,31:849-855.
  • 8YI H. Meromorphic functions that share one or two values [J]. Complex Variable, 1995,28:1-11.
  • 9YANG C. On deficiencies of differential polynomials Ⅱ[J]. Math Z, 1972,125:107-112.

二级参考文献12

  • 1王清河,吕巍然.具有五个公共值的亚纯函数[J].石油大学学报(自然科学版),2004,28(4):141-143. 被引量:5
  • 2仪洪勋 杨重骏.亚纯函数惟一性理论[M].北京:科学出版社,1995..
  • 3YI H X. On one problem of uniqueness of meromorphic functions concerning small functions[J]. Proc of Amer Math Soc, 2001,130(6):1689-1697.
  • 4NEVANLINNA R. Le Théoréme de Picard-Borel et la Théorie des Fonctions Méromorphes[M]. Paris: Gauthier-Villars, 1929.
  • 5HAYMAN W K.Meromorphic functions[M].Oxfod:Clarendon Press,1964.
  • 6HIONG K L.Sur la limition de T(r,f) sans intervention des poles[J].Bull Sci Math,1956,80:175-190.
  • 7YU K W.A note on the product of meromorphic function and its derivatives[J].Kodai Math J,2001,24(3):339-343.
  • 8YU K W.On the value distribution of φ(z)[f(z)^n-1f^(k)][J].J Inequal Pure Appl Math,2002,3(1):Article 8,1-5.
  • 9LAHIRI I and DEWAN S.Inequalities arising out of the value distribution of a differential monomial[J].J Inequal Pure Appl Math,2003,4(2):Article 27,1-13.
  • 10HAYMAN W K,MILES J.On the growth of a meromorphic function and its derivatives[J].Complex Variables,1989,12:245-260.

共引文献6

同被引文献9

  • 1HAYMAN W. Meromorphic function[ M]. Oxford: Clarendon Press, 1964.
  • 2LAINE I. Nevanlinna theory and complex differential equation[ M]. Berlin: Walter de Gruyter, 1993.
  • 3YANG L Z. Solutions of a differential equation and its application [ J ]. Kodai Math J, 1999,22:458-464.
  • 4VALIRON G. Lectures on the General Theory of Integral Functions[ M]. New York: Chelsea, 1949.
  • 5BARRY P D. On a theorem of Besicovitch[J]. Quart J Math Oxford Ser, 1963,14:293-302.
  • 6CHEN Z X. The zero, pole and order of meromorphic solutions of differential equations with meromorphic coefficients[J]. Kodai Math J, 1996,19:341-354.
  • 7HAYMAN W. The local growth of power series: a survey of the Wiman-Valiron method [ J ]. Canad Math Bull, 1974,17 : 317-358.
  • 8王珺.关于一类非齐次微分方程解的增长性及应用[J].江西师范大学学报(自然科学版),2003,27(2):115-117. 被引量:3
  • 9吕巍然,王珺.具有三个公共值亚纯函数惟一性问题的注记[J].石油大学学报(自然科学版),2004,28(1):119-121. 被引量:6

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