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arxiv: 1612.02257 · v1 · pith:SVV34T26new · submitted 2016-12-07 · 🧮 math.CA

On the Laplace transform of absolutely monotonic functions

classification 🧮 math.CA
keywords absolutelyfunctionlaplacemonotonictransformcloselyconditionsfunctions
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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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