Generalized Bernstein functions

Stamatis Koumandos; Henrik L. Pedersen

doi:10.7146/math.scand.a-134298

Generalized Bernstein functions

Stamatis Koumandos, Henrik L. Pedersen

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

1 Citationer (Scopus)

17 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.

Originalsprog	Engelsk
Tidsskrift	Mathematica Scandinavica
Vol/bind	129
Udgave nummer	1
Sider (fra-til)	93-116
ISSN	0025-5521
DOI	https://doi.org/10.7146/math.scand.a-134298
Status	Udgivet - 2023

Bibliografisk note

Funding Information:
We thank the referees for their suggestions for the improvement of the paper.

Publisher Copyright:
© 2023 Mathematica Scandinavica. All rights reserved.

Adgang til dokumentet

10.7146/math.scand.a-134298

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Citationsformater

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