Generalized Bernstein functions

descriptionPublicationkeyboard_double_arrow_right Article 20 Feb 2023 Denmark Publisher:Det Kgl. Bibliotek/Royal Danish LibraryJournal:MATHEMATICA SCANDINAVICA, volume 129 (issn: 0025-5521, eissn: 1903-1807,

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Authors: Koumandos, Stamatis; Pedersen, Henrik L.;

doi: 10.7146/math.scand.a-134298

Generalized Bernstein functions

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Abstract

A class of functions called generalized Bernstein functions is studied. The fundamental properties of this class are given and its relation to generalized Stieltjes functions via the Laplace transform is investigated. The subclass of generalized Thorin-Bernstein functions is characterized in different ways. Examples of generalized Bernstein functions include incomplete gamma functions, Lerch's transcendent and some hypergeometric functions.

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Denmark

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University of Copenhagen
Denmark
University of Copenhagen
Denmark

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