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On Completely Monotonic and Related Functions

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Mathematics Without Boundaries

Abstract

We deal with several classes of functions, such as, completely monotonic functions, absolutely monotonic functions, logarithmically completely monotonic functions, Stieltjes functions, and Bernstein functions. We give several interesting relations among theses classes of functions as well as various examples and applications. We show that several special functions belong to the aforementioned classes. We give a survey of recent results in this area and provide new proofs as well as additional remarks and comments.

Mathematics Subject Classification: Primary 33B15, 33B10, 33E20, 41A60, 11B83; Secondary: 41A80, 26D05, 26D15

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Authors and Affiliations

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

    Stamatis Koumandos

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  1. Stamatis Koumandos
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Correspondence to Stamatis Koumandos .

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  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Dept. Industrial & Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

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Koumandos, S. (2014). On Completely Monotonic and Related Functions. In: Rassias, T., Pardalos, P. (eds) Mathematics Without Boundaries. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1106-6_12

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