全平面有限级Dirichlet级数的增长性  

Growth of entire Dirichlet series of finite order

作　　者：朱茂春[1] 张颜云[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072

出　　处：《纺织高校基础科学学报》2008年第3期295-297,共3页Basic Sciences Journal of Textile Universities

基　　金：陕西省自然科学基础研究计划资助项目(2006A09)

摘　　要：研究有限级整Dirichlet级数的准确级增长性与系数之间的关系.借鉴前人证明方法,在减弱已有结果的条件下,得到了一个更强的结果.并将已有结果中的反函数替换为原函数,从而简化了计算.The relation between the growth and the coefficients of Dirichlet series of finite order in the whole plane was researched. With drawing on the experience of predecessors, a new stronger result is obtained under the weaker condition, the calculating is also simplified by replacing the inverse function with the primitive function in some known results.

关 键 词：DIRICHLET级数 有限级 系数 增长性 

分 类 号：O174.52[理学—数学]