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.
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页码：1041 / 1053
页数：13
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