复指数Dirichlet级数所表示的整函数的增长性

The Growth of An Entire Function Represented by Dirichlet Series with Complex Exponents

由Dirichlet级数表示的整函数f(z)在带形中有界,其系数{an}和指数{λn}(n= 1,2,…)是复数列.文中引入■-笔次和下■-级,讨论f(z)具有■-级和下■-级的条件.

Let f be an entire function represented by Dirichlet series, which is bounded in a horizontal stirp, its coefficients {an} and exponents {λn} （n = 1,2,...） are sequences of complex numbers. The authors introduce ψ-order and lower ψ-order and study the conditions for f having ψ-order and lower ψ-order respectively.