Monotonicity properties for a ratio of finite many gamma functions

In the paper, the authors consider a ratio of finite many gamma functions and find its monotonicity properties such as complete monotonicity, the Bernstein function property, and logarithmically complete monotonicity.

Detalles Bibliográficos
Autores principales: Qi, Feng, Lim, Dongkyu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7194249/
https://www.ncbi.nlm.nih.gov/pubmed/32373169
http://dx.doi.org/10.1186/s13662-020-02655-4
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author Qi, Feng
Lim, Dongkyu
author_facet Qi, Feng
Lim, Dongkyu
author_sort Qi, Feng
collection PubMed
description In the paper, the authors consider a ratio of finite many gamma functions and find its monotonicity properties such as complete monotonicity, the Bernstein function property, and logarithmically complete monotonicity.
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spelling pubmed-71942492020-05-02 Monotonicity properties for a ratio of finite many gamma functions Qi, Feng Lim, Dongkyu Adv Differ Equ Research In the paper, the authors consider a ratio of finite many gamma functions and find its monotonicity properties such as complete monotonicity, the Bernstein function property, and logarithmically complete monotonicity. Springer International Publishing 2020-05-01 2020 /pmc/articles/PMC7194249/ /pubmed/32373169 http://dx.doi.org/10.1186/s13662-020-02655-4 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Qi, Feng
Lim, Dongkyu
Monotonicity properties for a ratio of finite many gamma functions
title Monotonicity properties for a ratio of finite many gamma functions
title_full Monotonicity properties for a ratio of finite many gamma functions
title_fullStr Monotonicity properties for a ratio of finite many gamma functions
title_full_unstemmed Monotonicity properties for a ratio of finite many gamma functions
title_short Monotonicity properties for a ratio of finite many gamma functions
title_sort monotonicity properties for a ratio of finite many gamma functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7194249/
https://www.ncbi.nlm.nih.gov/pubmed/32373169
http://dx.doi.org/10.1186/s13662-020-02655-4
work_keys_str_mv AT qifeng monotonicitypropertiesforaratiooffinitemanygammafunctions
AT limdongkyu monotonicitypropertiesforaratiooffinitemanygammafunctions

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