为了研究无限级整Dirichlet级数的增长性,引入一类严格单调增函数,提出一种新的指标.在较弱的指数条件下,得到了无限级整Dirichlet级数关于此函数的增长性与其系数的关系.此函数的引入对于研究无限级整Dirichlet级数增长性有一定的理论意义.
The growth of entire Dirichlet series of infinite order is investigated. A strictly monotone increasing function and a new growth index are introduced. The relation between the growth on this function and the coefficients of entire Dirichlet series of infinite order is obtained under a weaker index condition. Introducing the function is of theoretical significance in studying the growth of entire Dirichlet series of infinite order.