右半平面上Dirichlet级数关于其超级的型

The Type of the Hyper-Order of Dirichlet Series on the Right Half Plane

给出了右半平面上Dirichlet级数关于其超级的型的概念.用系数及指数给出了型的上极限计算公式,并给出由上极限精确到极限的等价条件,使结果更加完美.这种由上极限精确到极限的方法,在Dirichlet级数的研究中得到普遍使用。

In this paper, we give the definition of the type of the Hyper-order of Dirichlet series on the right half plane. We obtain the upper limit computational formula of the type using the coefficient and index, and get the replaced the upper limit into limit, and make the results more perfect. This presise by upper limit to limit method, has been widely used in the research of Dirichlet series.