Generalized Bernstein functions

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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.

TidsskriftMathematica Scandinavica
Udgave nummer1
Sider (fra-til)93-116
StatusUdgivet - 2023

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We thank the referees for their suggestions for the improvement of the paper.

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© 2023 Mathematica Scandinavica. All rights reserved.

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