半平面上有限级Dirichlet级数关于型函数的增长级

The growth of finite-order Dirichlet series about the type-function on the half-plane

利用型函数研究了半平面上有限级Dirichlet级数的增长级.在一般指数条件下,得到了其系数和增长级之间的重要关系,拓展了半平面上有限级Dirichlet级数的增长性的研究范围.

The growth of the finite-order series on the half-plane are studied by using the type-function. Under the general exponential condition, the relations between the order on the type-function and coefficients of Dirichlet series are obtained. And the research scope of the growth of the Dirichlet series on the half-plane is promoted.