Generalized Bernstein functions

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Standard

Generalized Bernstein functions. / Koumandos, Stamatis; Pedersen, Henrik L.

In: Mathematica Scandinavica, Vol. 129, No. 1, 2023, p. 93-116.

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

Harvard

Koumandos, S & Pedersen, HL 2023, 'Generalized Bernstein functions', Mathematica Scandinavica, vol. 129, no. 1, pp. 93-116. https://doi.org/10.7146/math.scand.a-134298

APA

Koumandos, S., & Pedersen, H. L. (2023). Generalized Bernstein functions. Mathematica Scandinavica, 129(1), 93-116. https://doi.org/10.7146/math.scand.a-134298

Vancouver

Koumandos S, Pedersen HL. Generalized Bernstein functions. Mathematica Scandinavica. 2023;129(1):93-116. https://doi.org/10.7146/math.scand.a-134298

Author

Koumandos, Stamatis ; Pedersen, Henrik L. / Generalized Bernstein functions. In: Mathematica Scandinavica. 2023 ; Vol. 129, No. 1. pp. 93-116.

Bibtex

@article{2a0a6977a87d4436bb475171935787ca,
title = "Generalized Bernstein functions",
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{\textquoteright}s transcendent and some hypergeometric functions.",
author = "Stamatis Koumandos and Pedersen, {Henrik L.}",
note = "Publisher Copyright: {\textcopyright} 2023 Mathematica Scandinavica. All rights reserved.",
year = "2023",
doi = "10.7146/math.scand.a-134298",
language = "English",
volume = "129",
pages = "93--116",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "1",

}

RIS

TY - JOUR

T1 - Generalized Bernstein functions

AU - Koumandos, Stamatis

AU - Pedersen, Henrik L.

N1 - Publisher Copyright: © 2023 Mathematica Scandinavica. All rights reserved.

PY - 2023

Y1 - 2023

N2 - 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.

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.

U2 - 10.7146/math.scand.a-134298

DO - 10.7146/math.scand.a-134298

M3 - Journal article

AN - SCOPUS:85161667474

VL - 129

SP - 93

EP - 116

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 1

ER -

ID: 358574442