解析Dirichlet级数的p(R)-级

p(R)-order of analytic Dirichlet series

对于p(R)-级解析函数(由在右半平面内收敛的Dirichlet级数定义),首先讨论了Dirichlet级数的指数条件,然后在较一般的指数条件li mn→+∞lnlnnlnλn<1下,讨论了它的系数与增长性、正规增长性间的关系,得到了两个充要条件.

The growth and regular growth of the p（R）-orde of analytic function represented by Dirichlet series convergent in the right-half plane with the relation of its coefficients are studied under more general coefficients condition （─limn→＋∞）（lnln n）/（lnλn）〈1, then two necessary and sufficient conditions are obtained.