随机Dirichlet级数的Hadamard乘积的增长性  

The Growth of Hadamard Product of Random Dirichlet Series

作　　者：应锐 徐洪焱 YING Rui;XU Hongyan(Shangrao Preschool Education College,Shangrao Jiangxi 334001,China;School of Mathematics and Computer Science,Shangrao Normal University,Shangrao Jiangxi 334001,China)

机构地区：[1]上饶幼儿师范高等专科学校,江西上饶334000 [2]上饶师范学院数学与计算机学院,江西上饶334000

出　　处：《江西师范大学学报（自然科学版）》2019年第5期513-517,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11561033);江西省自然科学基金(20181BAB201001);江西省教育厅科技课题(GJJ180734,GJJ170788,GJJ170759)资助项目

摘　　要：利用随机Dirichlet级数理论,结合Hadamard乘积性质,主要研究了随机Dirichlet级数的Dirichlet-Hadamard乘积级数的增长性,得到了随机Dirichlet-Hadamard乘积级数与原随机Dirichlet级数的q-级、下q-级、q-型、下q-型与双下q-型之间的关系定理.By using the theory of random Dirichlet series,and combining the properties of Hadamard product,the growth of the Hadamard product of random Dirichlet series is studied.Some results about q-order,lower q-order,q-type,lower q-type and double lower q-type between random Dirichlet series and random Dirichlet-Hadamard product series are obtained.

关 键 词：随机DIRICHLET级数 整函数 双下q-型 

分 类 号：O174.55[理学—数学]