Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties

The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol. By this approach, we deduce a few analytical properties as usual differentiations and integral transforms (likewise, Laplace transform, Whitt...

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Autores principales:	Waseem Ahmad Khan, Hassen Aydi, Musharraf Ali, Mohd Ghayasuddin, Jihad Younis
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9ddd81354b1c4c20bcdc2c12ae3cef9f
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spelling	oai:doaj.org-article:9ddd81354b1c4c20bcdc2c12ae3cef9f2021-11-29T00:55:38ZConstruction of Generalized k-Bessel–Maitland Function with Its Certain Properties2314-478510.1155/2021/5386644https://doaj.org/article/9ddd81354b1c4c20bcdc2c12ae3cef9f2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5386644https://doaj.org/toc/2314-4785The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol. By this approach, we deduce a few analytical properties as usual differentiations and integral transforms (likewise, Laplace transform, Whittaker transform, beta transform, and so forth) for our presented k-Bessel–Maitland function. Also, the k-fractional integration and k-fractional differentiation of abovementioned k-Bessel–Maitland functions are also pointed out systematically.Waseem Ahmad KhanHassen AydiMusharraf AliMohd GhayasuddinJihad YounisHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Waseem Ahmad Khan Hassen Aydi Musharraf Ali Mohd Ghayasuddin Jihad Younis Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
description	The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol. By this approach, we deduce a few analytical properties as usual differentiations and integral transforms (likewise, Laplace transform, Whittaker transform, beta transform, and so forth) for our presented k-Bessel–Maitland function. Also, the k-fractional integration and k-fractional differentiation of abovementioned k-Bessel–Maitland functions are also pointed out systematically.
format	article
author	Waseem Ahmad Khan Hassen Aydi Musharraf Ali Mohd Ghayasuddin Jihad Younis
author_facet	Waseem Ahmad Khan Hassen Aydi Musharraf Ali Mohd Ghayasuddin Jihad Younis
author_sort	Waseem Ahmad Khan
title	Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
title_short	Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
title_full	Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
title_fullStr	Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
title_full_unstemmed	Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
title_sort	construction of generalized k-bessel–maitland function with its certain properties
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/9ddd81354b1c4c20bcdc2c12ae3cef9f
work_keys_str_mv	AT waseemahmadkhan constructionofgeneralizedkbesselmaitlandfunctionwithitscertainproperties AT hassenaydi constructionofgeneralizedkbesselmaitlandfunctionwithitscertainproperties AT musharrafali constructionofgeneralizedkbesselmaitlandfunctionwithitscertainproperties AT mohdghayasuddin constructionofgeneralizedkbesselmaitlandfunctionwithitscertainproperties AT jihadyounis constructionofgeneralizedkbesselmaitlandfunctionwithitscertainproperties
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Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties

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