Monotonicity properties and bounds for the complete p-elliptic integrals

Abstract We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.

Bibliographic Details
Main Authors:	Ti-Ren Huang, Shen-Yang Tan, Xiao-Yan Ma, Yu-Ming Chu
Format:	Article
Language:	English
Published:	SpringerOpen 2018-09-01
Series:	Journal of Inequalities and Applications
Subjects:	Complete elliptic integral Complete p-elliptic integral Gaussian hypergeometric function Monotonicity Convexity
Online Access:	http://link.springer.com/article/10.1186/s13660-018-1828-2

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spelling	doaj-c71c424af074402ca713eb5b428e76432020-11-25T01:38:21ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-09-012018111110.1186/s13660-018-1828-2Monotonicity properties and bounds for the complete p-elliptic integralsTi-Ren Huang0Shen-Yang Tan1Xiao-Yan Ma2Yu-Ming Chu3Department of Mathematics, Zhejiang Sci-Tech UniversityuTaizhou Institute of Science and Technology, Nanjing University of Science and TechnologyDepartment of Mathematics, Zhejiang Sci-Tech UniversityuDepartment of Mathematics, Huzhou UniversityAbstract We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.http://link.springer.com/article/10.1186/s13660-018-1828-2Complete elliptic integralComplete p-elliptic integralGaussian hypergeometric functionMonotonicityConvexity
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ti-Ren Huang Shen-Yang Tan Xiao-Yan Ma Yu-Ming Chu
spellingShingle	Ti-Ren Huang Shen-Yang Tan Xiao-Yan Ma Yu-Ming Chu Monotonicity properties and bounds for the complete p-elliptic integrals Journal of Inequalities and Applications Complete elliptic integral Complete p-elliptic integral Gaussian hypergeometric function Monotonicity Convexity
author_facet	Ti-Ren Huang Shen-Yang Tan Xiao-Yan Ma Yu-Ming Chu
author_sort	Ti-Ren Huang
title	Monotonicity properties and bounds for the complete p-elliptic integrals
title_short	Monotonicity properties and bounds for the complete p-elliptic integrals
title_full	Monotonicity properties and bounds for the complete p-elliptic integrals
title_fullStr	Monotonicity properties and bounds for the complete p-elliptic integrals
title_full_unstemmed	Monotonicity properties and bounds for the complete p-elliptic integrals
title_sort	monotonicity properties and bounds for the complete p-elliptic integrals
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2018-09-01
description	Abstract We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.
topic	Complete elliptic integral Complete p-elliptic integral Gaussian hypergeometric function Monotonicity Convexity
url	http://link.springer.com/article/10.1186/s13660-018-1828-2
work_keys_str_mv	AT tirenhuang monotonicitypropertiesandboundsforthecompletepellipticintegrals AT shenyangtan monotonicitypropertiesandboundsforthecompletepellipticintegrals AT xiaoyanma monotonicitypropertiesandboundsforthecompletepellipticintegrals AT yumingchu monotonicitypropertiesandboundsforthecompletepellipticintegrals
_version_	1725054314222714880

Monotonicity properties and bounds for the complete p-elliptic integrals

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