半平面上无限级Dirichlet级数的上下级  

THE ORDER AND THE LOW ORDER OF DIRICHLET SERIES OF INFINITE ORDER ON THE HALF PLANE

作　　者：罗仕乐[1] 孙道椿[2] 

机构地区：[1]韶关学院数学系,广东韶关512005 [2]华南师范大学数学科学学院,广东广州510631

出　　处：《数学杂志》2009年第5期655-661,共7页Journal of Mathematics

基　　金：国家自然科学基金资助项目(10471048)

摘　　要：本文研究了右半平面上无限级Dirichlet级数的增长性及正规增长性.利用熊庆来的型函数及Newton多边形,得到了Dirichlet级数的下级与其系数的关系.In this article, we study the growth and its normal growth of Dirichlet series of infinite order in the right half-plane. We prove several lemmas under a much weaker coefficient condition by using the Newton polygon and type-function of Xiong Qinglai. The relation between the low order of Dirichlet series and its coefficients is obtained.

关 键 词：无限级 DIRICHLET级数 型函数 NEWTON多边形 下级 

分 类 号：O174.51[理学—数学]