平面上有限正级Dirichlet级数的增长性与正规增长性  

The growth and regular growth of Dirichlet series with finite positive order in the plane

作　　者：刘素红[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《宝鸡文理学院学报（自然科学版）》2009年第2期25-28,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：目的研究Dirichlet级数的系数、指数与增长性之间的关系。方法利用m(σ)几何意义和型函数进行研究。结果得到了关于增长性的两个充分条件和三个充要条件。结论对陈聚峰,刘名生的定理进行了推广(陈聚峰,刘名生.有限级Dirichlet级数及随机Dirichlet级数.数学物理学报,2005,25A(7),965-973.),给出了级数的系数、指数与增长性之间的关系。Aim To study the relationship between coefficient index and growth of Dirichlet series. Methods the geometric meaning of m（σ） and type function are used to study the relationship. Results Two sufficient conditions and three sufficient and necessary conditions are obtained. Conclu- sion The conclusion of CHEN Ju-feng and LIU Ming-sheng （CHEN Ju-feng, LIU Ming-sheng. The Dirichlet Series and Random Dirichlet Series of Finite Order. Acta Mathematica Scientia, 2005, 25A （7） ： 965-973. ） is extended and the relationship between coefficient, index and growth is pointed out the relationship between coefficien, index and growth.

关 键 词：DIRICHLET级数 增长级 正规增长性 NEWTON多边形 型函数 

分 类 号：O174.5[理学—数学]