On the Laplace Transform of Absolutely Monotonic Functions

被引：0
|
作者：
Stamatis Koumandos
Henrik L. Pedersen
机构：
[1] The University of Cyprus,Department of Mathematics and Statistics
[2] University of Copenhagen,Department of Mathematical Sciences
来源：
Results in Mathematics | 2017年 / 72卷
关键词：
Laplace transform; completely monotonic function of positive order; absolutely monotonic function; Primary 44A10; Secondary 41A80; 26A48; 33C20;
D O I：
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学科分类号：
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：12
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