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On the Laplace Transform of Absolutely Monotonic Functions

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Cyprus, P. O. Box 20537, 1678, Nicosia, Cyprus

    Stamatis Koumandos

  2. Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen, Denmark

    Henrik L. Pedersen

Authors
  1. Stamatis Koumandos
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  2. Henrik L. Pedersen
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Corresponding author

Correspondence to Henrik L. Pedersen.

Additional information

Research supported by grant DFF4181-00502 from The Danish Council for Independent Research | Natural Sciences.

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Koumandos, S., Pedersen, H.L. On the Laplace Transform of Absolutely Monotonic Functions. Results Math 72, 1041–1053 (2017). https://doi.org/10.1007/s00025-016-0638-4

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  • DOI: https://doi.org/10.1007/s00025-016-0638-4

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