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关于Gundersen问题的若干结果 被引量:2

SOME RESULTS ON GUNDRESEN'S PROBLEM
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摘要 对Gundersen问题“设非常数整函数f(z)与g(z)有三个判别的IM分担值.那么 这三个值是否皆为f(z)与g(z)的CM分担值?”,作者进行了研究,得到若干结果,部 分解决了该问题. Gundersen's question that ' If two entire functions share three distinct values IM,then do the functions share all the three values CM?' is studied. Some results are obtained and the question is partly resolved.
作者 黄斌
出处 《系统科学与数学》 CSCD 北大核心 2003年第4期467-481,共15页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(19971052)资助课题
关键词 Gundersen问题 分担值 定义 定理 密指量 亚纯函数 Meromorphic functions, sharing a value by counting multiplicities(CM), sharing a value by ignoring multiplicities(IM).
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参考文献10

  • 1方丽飞,黄斌.具有四分担值的亚纯函数的唯一性[J].数学理论与应用,2001,21(1):30-34. 被引量:1
  • 2Hayman W K. Meromorphic Function. Clarendon Press, Oxford, 1964.
  • 3Gundersen G G. Meromorpic functions that share three values IM and a fourth value GM. Complex Variables, 1992, 20: 99-106.
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  • 10Gundersen G G. Correction to "Meromorphic functions that share four values". Trans Amer Math Soc, 1987, 304: 847-850.

同被引文献9

  • 1YiHongxun and Yang C C. Uniqueness theory of meromorphic functions[J]. Beijing: Science Press,2003.
  • 2Nevanlinna R. Eindeutigkeitssatze in der Theorie der meromorphen Funktionen[J]. Acta Math,1926,48: 367-391.
  • 3LinWeichuan and Kazuya Tohge. On shared-value properties of Painleve transcend dents[J]. Computa- tional Methods and Function, Theory, 2007,7 (2) : 477 - 499.
  • 4Gromak V, Laine I and Shimomura S. Painleve differential equetions in the complex planel-2, Berlin: Waiter de Gruyter,2002.
  • 5Gundersen G G. Meromophic functions that share three or four values[J]. J. London Math. Soc, 1979, 20:457-466.
  • 6Gundersen G G. Meromophic functions that share three or four values[I]. Trans. Amer. Math. Soc, 1983,227 : 545 - 567 (Correction : 1987,304 . 847 - 850).
  • 7LiXiaomin and Yi Hongxun. Results on value distribution of L-functions[J]. Math. Nachr,2013,286 (13):1326-1336.
  • 8罗旭丹.多项式及超越整函数的唯一性[J].福建师范大学学报(自然科学版),2009,25(5):21-25. 被引量:3
  • 9李叶舟,何育赞.Painlevé方程的解析性质[J].数学进展,2000,29(6):481-489. 被引量:5

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