Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus

Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus

In this paper, we introduce a matrix version of the generalized heat polynomials. Some analytic properties of the generalized heat matrix polynomials are obtained including generating matrix functions, finite sums, and Laplace integral transforms. In addition, further properties are investigated usi...

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Main Authors: Mohamed Abdalla, Salah Mahmoud Boulaaras
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/4065606
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spelling doaj-124b26e3d206456a9cff742e77fff02c2021-06-21T02:25:38ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/4065606Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional CalculusMohamed Abdalla0Salah Mahmoud Boulaaras1Department of MathematicsDepartment of MathematicsIn this paper, we introduce a matrix version of the generalized heat polynomials. Some analytic properties of the generalized heat matrix polynomials are obtained including generating matrix functions, finite sums, and Laplace integral transforms. In addition, further properties are investigated using fractional calculus operators.http://dx.doi.org/10.1155/2021/4065606
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Abdalla
Salah Mahmoud Boulaaras
spellingShingle Mohamed Abdalla
Salah Mahmoud Boulaaras
Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
Journal of Function Spaces
author_facet Mohamed Abdalla
Salah Mahmoud Boulaaras
author_sort Mohamed Abdalla
title Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
title_short Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
title_full Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
title_fullStr Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
title_full_unstemmed Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
title_sort analytical properties of the generalized heat matrix polynomials associated with fractional calculus
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this paper, we introduce a matrix version of the generalized heat polynomials. Some analytic properties of the generalized heat matrix polynomials are obtained including generating matrix functions, finite sums, and Laplace integral transforms. In addition, further properties are investigated using fractional calculus operators.
url http://dx.doi.org/10.1155/2021/4065606
work_keys_str_mv AT mohamedabdalla analyticalpropertiesofthegeneralizedheatmatrixpolynomialsassociatedwithfractionalcalculus
AT salahmahmoudboulaaras analyticalpropertiesofthegeneralizedheatmatrixpolynomialsassociatedwithfractionalcalculus
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