REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
In the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp. 658-663; DOI: 10.1016/j.amc.2014.05.034." By virtue of...
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Format: | Article |
Language: | English |
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Petrozavodsk State University
2015-04-01
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Series: | Проблемы анализа |
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Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2789&lang=en |
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author | F. Qi B. N. Guo |
author_facet | F. Qi B. N. Guo |
author_sort | F. Qi |
collection | DOAJ |
description | In the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp. 658-663; DOI: 10.1016/j.amc.2014.05.034." By virtue of these, the authors point out several trivial extensions and generalizations and establish some new results on the complete monotonicity of a function involving the classical Euler gamma function. |
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format | Article |
id | doaj.art-5ed66d4a23cc4f608e344081b4712557 |
institution | Directory Open Access Journal |
issn | 2306-3424 2306-3432 |
language | English |
last_indexed | 2024-12-19T17:14:18Z |
publishDate | 2015-04-01 |
publisher | Petrozavodsk State University |
record_format | Article |
series | Проблемы анализа |
spelling | doaj.art-5ed66d4a23cc4f608e344081b47125572022-12-21T20:12:56ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322015-04-01416672REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTIONF. Qi0 B. N. Guo1Henan Polytechnic UniversityHenan Polytechnic UniversityIn the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp. 658-663; DOI: 10.1016/j.amc.2014.05.034." By virtue of these, the authors point out several trivial extensions and generalizations and establish some new results on the complete monotonicity of a function involving the classical Euler gamma function.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2789&lang=enremarkparametergamma functioncompletely monotonic functionlogarithmically completely monotonic functioninequality |
spellingShingle | F. Qi B. N. Guo REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION Проблемы анализа remark parameter gamma function completely monotonic function logarithmically completely monotonic function inequality |
title | REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION |
title_full | REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION |
title_fullStr | REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION |
title_full_unstemmed | REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION |
title_short | REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION |
title_sort | remarks on complete monotonicity of a function involving the gamma function |
topic | remark parameter gamma function completely monotonic function logarithmically completely monotonic function inequality |
url | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2789&lang=en |
work_keys_str_mv | AT fqi remarksoncompletemonotonicityofafunctioninvolvingthegammafunction AT bnguo remarksoncompletemonotonicityofafunctioninvolvingthegammafunction |