Higher Order Thorin–Bernstein Functions

Stamatis Koumandos; Henrik L. Pedersen

doi:10.1007/s00025-023-02040-z

Higher Order Thorin–Bernstein Functions

Stamatis Koumandos, 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

We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.

Original language	English
Article number	13
Journal	Results in Mathematics
Volume	79
Issue number	1
ISSN	1422-6383
DOIs	https://doi.org/10.1007/s00025-023-02040-z
Publication status	Published - 2024

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

Keywords

completely monotonic function
generalized Bernstein function
generalized Stieltjes function
Laplace transform
Thorin–Bernstein function

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10.1007/s00025-023-02040-zLicence: CC BY

FulltextFinal published version, 400 KBLicence: CC BY

Cite this

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title = "Higher Order Thorin–Bernstein Functions",

abstract = "We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.",

keywords = "completely monotonic function, generalized Bernstein function, generalized Stieltjes function, Laplace transform, Thorin–Bernstein function",

author = "Stamatis Koumandos and Pedersen, {Henrik L.}",

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AU - Koumandos, Stamatis

AU - Pedersen, Henrik L.

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AB - We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.

KW - completely monotonic function

KW - generalized Bernstein function

KW - generalized Stieltjes function

KW - Laplace transform

KW - Thorin–Bernstein function

U2 - 10.1007/s00025-023-02040-z

DO - 10.1007/s00025-023-02040-z

M3 - Journal article

AN - SCOPUS:85176240701

VL - 79

JO - Results in Mathematics

JF - Results in Mathematics

SN - 1422-6383

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M1 - 13

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