On the Laplace Transform of Absolutely Monotonic Functions

被引：5

作者：

Koumandos, Stamatis ^{[1
]}

Pedersen, Henrik L. ^{[2
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, POB 20537, CY-1678 Nicosia, Cyprus

[2] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen, Denmark

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Laplace transform; completely monotonic function of positive order; absolutely monotonic function;

D O I：

10.1007/s00025-016-0638-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function. Several closely related results are also given.

引用

页码：1041 / 1053

页数：13

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