无限级整Dirichlet级数的增长性  

The Growth of Entire Dirichlet Series of Infinite Order

作　　者：丁晓庆[1] 张颜云[1] 朱茂春[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《西安工业大学学报》2008年第5期499-501,共3页Journal of Xi’an Technological University

基　　金：陕西省自然科学基础研究计划资助项目(2006A09)

摘　　要：为了研究无限级整Dirichlet级数的增长性,引入一类严格单调增函数,提出一种新的指标.在较弱的指数条件下,得到了无限级整Dirichlet级数关于此函数的增长性与其系数的关系.此函数的引入对于研究无限级整Dirichlet级数增长性有一定的理论意义.The growth of entire Dirichlet series of infinite order is investigated. A strictly monotone increasing function and a new growth index are introduced. The relation between the growth on this function and the coefficients of entire Dirichlet series of infinite order is obtained under a weaker index condition. Introducing the function is of theoretical significance in studying the growth of entire Dirichlet series of infinite order.

关 键 词：DIRICHLET级数 增长指标 无限级 增长性 

分 类 号：O156.4[理学—数学]