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 for this work

Department of Mathematical Sciences

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

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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.

Original language	English
Journal	Experimental Mathematics
Volume	32
Issue number	3
Pages (from-to)	505-513
ISSN	1058-6458
DOIs	https://doi.org/10.1080/10586458.2021.1980460
Publication status	Published - 2023

Bibliographical note

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

Keywords

Bernstein function
Generalized Stieltjes function
Laplace transform
logarithmically completely monotonic function

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10.1080/10586458.2021.1980460

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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.",

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KW - Generalized Stieltjes function

KW - Laplace transform

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A Family of Horn-Bernstein Functions

Abstract

Bibliographical note

Keywords

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