Relation of Some Known Functions in terms of Generalized Meijer G-Functions

The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions, product of exponential and hyperbolic functions,...

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Autores principales:	Syed Ali Haider Shah, Shahid Mubeen, Gauhar Rahman, Jihad Younis
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/3aff526890b74b659fd50f01c30c2c9e
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spelling	oai:doaj.org-article:3aff526890b74b659fd50f01c30c2c9e2021-11-15T01:19:21ZRelation of Some Known Functions in terms of Generalized Meijer G-Functions2314-478510.1155/2021/7032459https://doaj.org/article/3aff526890b74b659fd50f01c30c2c9e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7032459https://doaj.org/toc/2314-4785The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions, product of exponential and hyperbolic functions, binomial expansion, logarithmic function, and sine integral, with the generalized Meijer G-function. We also prove the product of modified Bessel function of first and second kind in the form of generalized Meijer G-function and solve an integral involving the product of modified Bessel functions.Syed Ali Haider ShahShahid MubeenGauhar RahmanJihad YounisHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Syed Ali Haider Shah Shahid Mubeen Gauhar Rahman Jihad Younis Relation of Some Known Functions in terms of Generalized Meijer G-Functions
description	The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions, product of exponential and hyperbolic functions, binomial expansion, logarithmic function, and sine integral, with the generalized Meijer G-function. We also prove the product of modified Bessel function of first and second kind in the form of generalized Meijer G-function and solve an integral involving the product of modified Bessel functions.
format	article
author	Syed Ali Haider Shah Shahid Mubeen Gauhar Rahman Jihad Younis
author_facet	Syed Ali Haider Shah Shahid Mubeen Gauhar Rahman Jihad Younis
author_sort	Syed Ali Haider Shah
title	Relation of Some Known Functions in terms of Generalized Meijer G-Functions
title_short	Relation of Some Known Functions in terms of Generalized Meijer G-Functions
title_full	Relation of Some Known Functions in terms of Generalized Meijer G-Functions
title_fullStr	Relation of Some Known Functions in terms of Generalized Meijer G-Functions
title_full_unstemmed	Relation of Some Known Functions in terms of Generalized Meijer G-Functions
title_sort	relation of some known functions in terms of generalized meijer g-functions
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/3aff526890b74b659fd50f01c30c2c9e
work_keys_str_mv	AT syedalihaidershah relationofsomeknownfunctionsintermsofgeneralizedmeijergfunctions AT shahidmubeen relationofsomeknownfunctionsintermsofgeneralizedmeijergfunctions AT gauharrahman relationofsomeknownfunctionsintermsofgeneralizedmeijergfunctions AT jihadyounis relationofsomeknownfunctionsintermsofgeneralizedmeijergfunctions
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions

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