On the growth of an entire dirichlet series

被引：0

作者：

Sheremeta M.M. ^{[1
]}

机构：

[1] Lviv University, Lviv

来源：

Ukrainian Mathematical Journal | 1999年 / 51卷 / 8期

关键词：

Positive Constant; Natural Number; Integral Representation; Arbitrary Number; Function Inverse;

D O I：

10.1007/BF02592520

中图分类号：

学科分类号：

摘要：

We establish the relation between the increase of the quantity ℳ(Sigma;, F) = |a0| + Σ∞n=1 |an| exp (σλn) and the behavior of sequences (|an|) and (λn), where (λn) is a sequence of nonnegative numbers increasing to +∞ and F(s) = a0 +Σ∞n=1 anesλn, s=σ+it is the Dirichlet entire series. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：1296 / 1302

页数：6

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