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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Main Authors: F. Qi, B. N. Guo
Format: Article
Language:English
Published: Petrozavodsk State University 2015-04-01
Series:Проблемы анализа
Subjects:
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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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