本文研究了一类零级Dirichlet级数在全平面上的级、下级以及正规增长性.利用Knopp—Kojima的方法,获得了一类零级Dirichlet级数在全平面上的级、下级以及正规增长性的充要条件,推广了平面上零级Dirichlet级数增长性的研究范围.
In this paper, we study the order, lower order and regular growth of certain zero order Dirichlet series on the plane. By using Knopp-Kojima's methods, we obtain the necessary and sufficient conditions of the order, lower order and regular growth of certain zero order Dirichlet series on the plane, which extends the research scope of the growth of certain zero order Dirichlet series on the plane.