广东工业大学学报 ›› 2012, Vol. 29 ›› Issue (2): 76-78.doi: 10.3969/j.issn.1007-7162.2012.02.015

• 综合研究 • 上一篇    下一篇

圆内两代数体函数的Borel点

  

  1. 1.广东工业大学 应用数学学院,广东 广州 510520;2.广东商学院 数学与计算科学学院,广东 广州 510320
  • 出版日期:2012-06-25 发布日期:2012-06-25
  • 作者简介:霍颖莹(1980-),女,讲师,博士,主要研究方向为函数论复分析.
  • 基金资助:

    国家自然科学基金资助项目(11101096)

Direction of Two Algebroidal Function In Unit Disc

  1. 1.School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China;
    2.School of Mathematics and Computational Science, Guangdong University of Business Studies,Guangzhou 510320, China
  • Online:2012-06-25 Published:2012-06-25

摘要: 通过作保形变换,证明了若〖WTBX〗W,M为v值代数体函数且具有2v+1个Im公共值,则它们在圆内具有公共的Borel点

关键词: 代数体函数;级;Borel点

Abstract: By a mapping the authors prove that for two vvalued algebroidal function W,M with 2v+1 Im sharing value, they share the same Borel point in unit disc.

Key words: algebroidal function; order; Borel point

[1] 杨乐. 值分布论及其新研究[M]. 科学出版社, 北京, 1982.

[2]孙道椿. 半纯函数及其导数的玻莱耳方向[J].数学年刊A,1985(4): 493-497.

           Sun D C. Borel direction of meromorphic function and its derived[J].Chinese Ann Math Ser A,1985(4): 493-497.

[3] 何育赞, 肖修治. 代数体函数与常微分方程[M].北京, 科学出版社, 1988.

[4] 陈特为. 单位圆内有限正级代数体函数的Borel点[J].华南师范大学学报: 自然科学版, 1993(Z1): 83-90.

            Chen T W. The  Borel points of algebroid function with finite and positive order of growth in the unit disk[J].Journal of South China Normal University:Natural Science Edition,1993(Z1): 83-90.

[5] Sun D C, Kong Y Y. The growth of algebroidal function[J]. J Math Anal Appl,2007,332:542550.

[6] Huo Y Y, Sun D C. Algebroid function with its derived function in unit circular disc[J]. Acta Mathematica Scientia,2009(29B):129-139.

[7] Huo Y Y, Kong Y Y. On filling discs in the strong Borel direction of algebroid function with finite order[J]. Bull Korean Math Soc,2010,47(6):1213-1224.

[8] 霍颖莹,孔荫莹. 两代数体函数的Borel方向[J].南昌大学学报:自然科学版,2011(1):25-27.

           Huo Y Y,Kong Y Y. Borel direction of two algebroidal function[J]. Journal of Nanchang University:Natural Science Edition,2011(1):25-27.
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