On Completely Monotonic and Related Functions

Stamatis Koumandos ()
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Stamatis Koumandos: University of Cyprus, Department of Mathematics and Statistics

A chapter in Mathematics Without Boundaries, 2014, pp 285-321 from Springer

Abstract: 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.

Keywords: Hausdorff moment sequences; Completely monotonic functions; Bernstein functions; Logarithmically completely monotonic functions; Stieltjes functions; Gamma function; Polygamma functions; Barnes double gamma function; Bernoulli and Euler numbers (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1106-6_12

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DOI: 10.1007/978-1-4939-1106-6_12

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