Completely monotonic functions related to logarithmic derivatives of entire functions

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Completely monotonic functions related to logarithmic derivatives of entire functions. / Pedersen, Henrik Laurberg.

I: Analysis and Applications, Bind 9, Nr. 4, 2011, s. 409-419.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Pedersen, HL 2011, 'Completely monotonic functions related to logarithmic derivatives of entire functions', Analysis and Applications, bind 9, nr. 4, s. 409-419. https://doi.org/10.1142/S0219530511001911

APA

Pedersen, H. L. (2011). Completely monotonic functions related to logarithmic derivatives of entire functions. Analysis and Applications, 9(4), 409-419. https://doi.org/10.1142/S0219530511001911

Vancouver

Pedersen HL. Completely monotonic functions related to logarithmic derivatives of entire functions. Analysis and Applications. 2011;9(4):409-419. https://doi.org/10.1142/S0219530511001911

Author

Pedersen, Henrik Laurberg. / Completely monotonic functions related to logarithmic derivatives of entire functions. I: Analysis and Applications. 2011 ; Bind 9, Nr. 4. s. 409-419.

Bibtex

@article{3a54b9bb96dd4c079819a03fd0763224,
title = "Completely monotonic functions related to logarithmic derivatives of entire functions",
abstract = "The logarithmic derivative l(x) of an entire function of genus p and having only non-positive zeros is represented in terms of a Stieltjes function. As a consequence, (-1)p(xml(x))(m+p) is a completely monotonic function for all m ≥ 0. This generalizes earlier results on complete monotonicity of functions related to Euler's psi-function. Applications to Barnes' multiple gamma functions are given.",
author = "Pedersen, {Henrik Laurberg}",
year = "2011",
doi = "10.1142/S0219530511001911",
language = "English",
volume = "9",
pages = "409--419",
journal = "Analysis and Applications",
issn = "0219-5305",
publisher = "World Scientific Publishing Co. Pte. Ltd.",
number = "4",

}

RIS

TY - JOUR

T1 - Completely monotonic functions related to logarithmic derivatives of entire functions

AU - Pedersen, Henrik Laurberg

PY - 2011

Y1 - 2011

N2 - The logarithmic derivative l(x) of an entire function of genus p and having only non-positive zeros is represented in terms of a Stieltjes function. As a consequence, (-1)p(xml(x))(m+p) is a completely monotonic function for all m ≥ 0. This generalizes earlier results on complete monotonicity of functions related to Euler's psi-function. Applications to Barnes' multiple gamma functions are given.

AB - The logarithmic derivative l(x) of an entire function of genus p and having only non-positive zeros is represented in terms of a Stieltjes function. As a consequence, (-1)p(xml(x))(m+p) is a completely monotonic function for all m ≥ 0. This generalizes earlier results on complete monotonicity of functions related to Euler's psi-function. Applications to Barnes' multiple gamma functions are given.

U2 - 10.1142/S0219530511001911

DO - 10.1142/S0219530511001911

M3 - Journal article

VL - 9

SP - 409

EP - 419

JO - Analysis and Applications

JF - Analysis and Applications

SN - 0219-5305

IS - 4

ER -

ID: 131444681