全平面上Dirichlet级数关于其超级的型

The Type of the Hyper-order of Dirichlet Series on the Whole Plane

给出了全平面上Dirichlet级数关于其超级的型的概念.在较一般的指数条件下,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.

In this paper,we define of the type of the Hyper-order of Dirichlet series on the whole plane.We obtain a formula for the upper limit of the type using coefficients and index under more general conditions for exponents,and also give a sufficient and necessary condition under which the upper limit equals the limit.