期刊文献+

半平面上有限级随机Dirichlet级数的亏函数

Deficient Functions of Random Dirichlet Series of Finite Order in the Half Plane
原文传递
导出
摘要 研究了半平面上非常一般的随机Dirichlet级数,证明了有限级随机Dirichlet级数几乎必然没有亏函数. In this paper, we study the random Dirichlet series of general enough in the half-plane and prove that the random Dirichlet series of finite order do not have almost surely deficient function.
出处 《应用数学学报》 CSCD 北大核心 2009年第3期413-421,共9页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10471048)资助项目
关键词 有限级 DIRICHLET级数 随机级数 亏函数 finite order Dirichlet series random series deficient function
  • 相关文献

参考文献9

  • 1Yu Jiarong , Ding Xiaoqing , Tian Fanji. Value Distribution of Dirichlet Series and Random Dirichlet Series. Wuhan: Wuhan University Press, 2004.
  • 2Sun Daochun. Deficient Function of Random Taylor Series. Mathemetica Acta Scientia, 1999, 19(3): 356-360.
  • 3Yang Le. Valed Distribution and its New Study. Beijing: Scince Press, 1982.
  • 4Kahane J P. Some Random Seies of Functions. 2nd ed. London: Cambridge Universtiy Press, 1985, 7, 8.
  • 5Nevalinna R. Le theoreme de Picard-Borel et La theoric des Fonctions Meromorphes. Paris: Gautier- Villars, 1929.
  • 6Sun Daochun. Random Dirichlet Series on the Right-half Plane. Mathemetica Acta Scientia, 1999, 19(1): 107-112.
  • 7Gao Zhongsheng, Sun Daochun. Small Function of Dirichlet Series. Journal of Mathemtics, 2003, 46(2): 397-402.
  • 8Sun Daochun, Gao Zhongsheng. Growth order of Dirichlet Seires on the Right-half Plane . Mathemetica Acta Scientia, 2002, 22A(4): 557 -563.
  • 9Luo Shile, Sun Daochun. Deficient functions of of a class of random Dirichlet series of finite order in the plane. Southeast Asian Bulletin of Mathematics, 2008, 32(4):699-706.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部