Dirichlet级数与连带级数  

DIRICHLET SERIES AND IMPLICATIVE SERIES

作　　者：孔荫莹[1] 孙道椿[2] 

机构地区：[1]广东商学院数学与计算科学系,广东广州510320 [2]华南师范大学数学科学学院,广东广州510631

出　　处：《数学杂志》2008年第2期209-212,共4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内解析的Dirichlet级数的增长性,利用凸函数和一致收敛数的性质和几个引理,证明了连带级数的奇异点与原级数的增长性有关,并得到该连带级数的一些性质.In this paper, we study the growth of Dirichlet series which is uniformly convergent in the right-half plane. By using several lemmas and some natures of the convex function and the uniformly convergent function, we prove that the singular points of implicative series are related to the growth of its original series, and obtain some their properties.

关 键 词：DIRICHLET级数 级 连带级数 

分 类 号：O174.52[理学—数学]