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

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.