Generalized Bernstein functions

Stamatis Koumandos; Henrik L. Pedersen

doi:10.7146/math.scand.a-134298

Generalized Bernstein functions

Stamatis Koumandos, Henrik L. Pedersen

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

2 Citations (Scopus)

23 Downloads (Pure)

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.

Original language	English
Journal	Mathematica Scandinavica
Volume	129
Issue number	1
Pages (from-to)	93-116
ISSN	0025-5521
DOIs	https://doi.org/10.7146/math.scand.a-134298
Publication status	Published - 2023

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© 2023 Mathematica Scandinavica. All rights reserved.

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10.7146/math.scand.a-134298

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Cite this

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AB - 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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JF - Mathematica Scandinavica

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