Dirichlet级数的广义Hadamard商的增长性  

The Growth of the Generalized Hadamard Quotient of Dirichlet Series

作　　者：崔永琴 徐会清 徐洪焱 CUI Yong-qin;XU hui-qing;XU Hong-yan(Department of Informatics and Engineering,Jingdezhen Ceramic Institute,Jingdezhen 333403,China)

机构地区：[1]景德镇陶瓷大学信息工程学院

出　　处：《数学的实践与认识》2019年第13期225-229,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11561033);江西省教育厅科技项目(GJJ170788)

摘　　要：研究了全平面上Dirichlet级数的广义Hadamard商的增长性问题.在构造Dirichlet级数的广义Hadamard商的基础上,利用全平面收敛的Dirichlet级数的增长性的结论,获得了广义Hadamard商的(下)级与(下)型的估计定理.The main purpose of this article is to study the growth of the Hadamard quotient of Dirichlet series which converge in the whole complex plane.By constructing the form of Hadamard quotient of Dirichlet series,we obtain some results about(lower)order and(lower)type,which are extension and improvement of the previous theorems given by Kong and Deng,Cui and Xu.

关 键 词：广义Hadamard商 (下)级 (下)型 

分 类 号：O173[理学—数学]