随机Dirichlet级数的广义Hadamard乘积的增长性  

The growth of generalized Dirichlet-Hadamard product of random dirichlet series

作　　者：崔永琴 徐洪焱 CUI Yongqin;XU Hongyan(Department of Informatics and Engineering,Jingdezhen Ceramic Institute,Jiangxi Jingdezhen 333403,China;School of Mathematics and Computer Science,Shangrao Normal University,Shangrao Jiangxi 334001,China)

机构地区：[1]景德镇陶瓷大学信息工程学院,江西景德镇333403 [2]上饶师范学院数学与计算机科学学院,江西上饶334001

出　　处：《南昌大学学报（理科版）》2020年第3期210-218,共9页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11561033);江西省自然科学基金资助项目(20181BAB201001);江西省教育厅科学技术研究资助项目(GJJ190876,GJJ191042,GJJ190895)。

摘　　要：通过引入随机Dirichlet级数的广义Hadamard乘积级数,文章讨论了乘积级数的增长性,得到了乘积级数与原级数若干涉及收敛横坐标,q-级、下q-级、q-型与下q-型的关系定理,改进了先前的一些结果。By introducing a generalized Dirichlet-Hadamard product of random Dirichlet Series,we investigate the growth of the generalized Dirichlet-Hadamard product series,and obtain some relationship theorems concerning the(lower)q-order,(lower)q-type,perfectly regular growth between the generalized random Dirichlet-Hadamard product series and the random Dirichlet Series,which are some improvements of the previous results given by Li and Kong.

关 键 词：Dirichlet-Hadamard乘积 随机DIRICHLET级数 完全正规增长 

分 类 号：O174.5[理学—数学]