半平面上Dirichlet级数的广义级与逼近

The Generalizes Order and Approximation of Dirichlet Series Converges in the Half Plane

通过引入广义级概念,讨论了半平面上Dirichlet级数的广义增长性,证明了Dirichlet级数具有两种广义级的等价结果.同时,文章还讨论了具有广义级Dirichlet级数的逼近性质,得到了其逼近算子,广义级,an以及λn之间的若干关系定理,进一步推广了先前的结果.

By introducing the concept of the generalize order,we study the generalizer growth of Dirichlet series converges in the half plane,and prove some theorems of Dirichlet series with two different generalize orders.Meantime,we also discuss the approximation of Dirichlet series with generalize order,and obtain some results concerning the error,generalize order,an andλn,which are some extensions of the previous theorem given by Xu and Yi,Kong and Gan,Ni.