Some Inequalities of Extended Hypergeometric Functions

Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent hypergeometric function, respectively, by virtue of...

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Autores principales:	Shilpi Jain, Rahul Goyal, Praveen Agarwal, Juan L. G. Guirao
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	gamma function classical Euler beta function Gauss hypergeometric function confluent hypergeometric function Mittag–Leffler function log-convexity Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/edbc3dc4a0a64893995e8d05e806df45
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id	oai:doaj.org-article:edbc3dc4a0a64893995e8d05e806df45
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spelling	oai:doaj.org-article:edbc3dc4a0a64893995e8d05e806df452021-11-11T18:15:48ZSome Inequalities of Extended Hypergeometric Functions10.3390/math92127022227-7390https://doaj.org/article/edbc3dc4a0a64893995e8d05e806df452021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2702https://doaj.org/toc/2227-7390Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent hypergeometric function, respectively, by virtue of Hölder integral inequality and Chebyshev’s integral inequality. We also studied the monotonicity, log-concavity, and log-convexity of extended hypergeometric functions, which are derived by using the inequalities on an extended beta function.Shilpi JainRahul GoyalPraveen AgarwalJuan L. G. GuiraoMDPI AGarticlegamma functionclassical Euler beta functionGauss hypergeometric functionconfluent hypergeometric functionMittag–Leffler functionlog-convexityMathematicsQA1-939ENMathematics, Vol 9, Iss 2702, p 2702 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	gamma function classical Euler beta function Gauss hypergeometric function confluent hypergeometric function Mittag–Leffler function log-convexity Mathematics QA1-939
spellingShingle	gamma function classical Euler beta function Gauss hypergeometric function confluent hypergeometric function Mittag–Leffler function log-convexity Mathematics QA1-939 Shilpi Jain Rahul Goyal Praveen Agarwal Juan L. G. Guirao Some Inequalities of Extended Hypergeometric Functions
description	Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent hypergeometric function, respectively, by virtue of Hölder integral inequality and Chebyshev’s integral inequality. We also studied the monotonicity, log-concavity, and log-convexity of extended hypergeometric functions, which are derived by using the inequalities on an extended beta function.
format	article
author	Shilpi Jain Rahul Goyal Praveen Agarwal Juan L. G. Guirao
author_facet	Shilpi Jain Rahul Goyal Praveen Agarwal Juan L. G. Guirao
author_sort	Shilpi Jain
title	Some Inequalities of Extended Hypergeometric Functions
title_short	Some Inequalities of Extended Hypergeometric Functions
title_full	Some Inequalities of Extended Hypergeometric Functions
title_fullStr	Some Inequalities of Extended Hypergeometric Functions
title_full_unstemmed	Some Inequalities of Extended Hypergeometric Functions
title_sort	some inequalities of extended hypergeometric functions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/edbc3dc4a0a64893995e8d05e806df45
work_keys_str_mv	AT shilpijain someinequalitiesofextendedhypergeometricfunctions AT rahulgoyal someinequalitiesofextendedhypergeometricfunctions AT praveenagarwal someinequalitiesofextendedhypergeometricfunctions AT juanlgguirao someinequalitiesofextendedhypergeometricfunctions
_version_	1718431917964001280

Some Inequalities of Extended Hypergeometric Functions

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