A Family of Horn-Bernstein Functions

Christian Berg; Henrik L. Pedersen

doi:10.1080/10586458.2021.1980460

A Family of Horn-Bernstein Functions

Christian Berg, Henrik L. Pedersen^*

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

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

3 Citationer (Scopus)

115 Downloads (Pure)

Abstract

A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads to the definition of a class of Bernstein functions, which we propose to call Horn-Bernstein functions because of the results of Roger A. Horn.

Originalsprog	Engelsk
Tidsskrift	Experimental Mathematics
Vol/bind	32
Udgave nummer	3
Sider (fra-til)	505-513
ISSN	1058-6458
DOI	https://doi.org/10.1080/10586458.2021.1980460
Status	Udgivet - 2023

Bibliografisk note

Publisher Copyright:
© 2021 Taylor & Francis Group, LLC.

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10.1080/10586458.2021.1980460

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Citationsformater

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title = "A Family of Horn-Bernstein Functions",

abstract = "A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads to the definition of a class of Bernstein functions, which we propose to call Horn-Bernstein functions because of the results of Roger A. Horn.",

keywords = "Bernstein function, Generalized Stieltjes function, Laplace transform, logarithmically completely monotonic function",

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KW - Generalized Stieltjes function

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