Higher Order Thorin–Bernstein Functions

Department of Mathematical Sciences

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

Standard

Higher Order Thorin–Bernstein Functions. / Koumandos, Stamatis; Pedersen, Henrik L.

In: Results in Mathematics, Vol. 79, No. 1, 13, 2024.

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

Harvard

Koumandos, S & Pedersen, HL 2024, 'Higher Order Thorin–Bernstein Functions', Results in Mathematics, vol. 79, no. 1, 13. https://doi.org/10.1007/s00025-023-02040-z

APA

Koumandos, S., & Pedersen, H. L. (2024). Higher Order Thorin–Bernstein Functions. Results in Mathematics, 79(1), [13]. https://doi.org/10.1007/s00025-023-02040-z

Vancouver

Koumandos S, Pedersen HL. Higher Order Thorin–Bernstein Functions. Results in Mathematics. 2024;79(1). 13. https://doi.org/10.1007/s00025-023-02040-z

Author

Koumandos, Stamatis ; Pedersen, Henrik L. / Higher Order Thorin–Bernstein Functions. In: Results in Mathematics. 2024 ; Vol. 79, No. 1.

Bibtex

@article{3500739bc4fd4d6c937a4dcba4b1ca07,

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.}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",

year = "2024",

doi = "10.1007/s00025-023-02040-z",

language = "English",

volume = "79",

journal = "Results in Mathematics",

issn = "1422-6383",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

RIS

TY - JOUR

T1 - Higher Order Thorin–Bernstein Functions

AU - Koumandos, Stamatis

AU - Pedersen, Henrik L.

PY - 2024

Y1 - 2024

N2 - 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.

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

IS - 1

M1 - 13

ER -

ID: 373793123