Analytical properties of the two-variables Jacobi matrix polynomials with applications

In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived. Furthermore, some relationships and applications are reported.

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Autores principales:	Abdalla Mohamed, Hidan Muajebah
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	jacobi matrix polynomials generating matrix relations recurrence formulas 33c50 33c45 33d15 65n35 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8d0199c34fb04f8e96f025519eaedfd9
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spelling	oai:doaj.org-article:8d0199c34fb04f8e96f025519eaedfd92021-12-05T14:10:45ZAnalytical properties of the two-variables Jacobi matrix polynomials with applications2391-466110.1515/dema-2021-0021https://doaj.org/article/8d0199c34fb04f8e96f025519eaedfd92021-06-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0021https://doaj.org/toc/2391-4661In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived. Furthermore, some relationships and applications are reported.Abdalla MohamedHidan MuajebahDe Gruyterarticlejacobi matrix polynomialsgenerating matrix relationsrecurrence formulas33c5033c4533d1565n35MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 178-188 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	jacobi matrix polynomials generating matrix relations recurrence formulas 33c50 33c45 33d15 65n35 Mathematics QA1-939
spellingShingle	jacobi matrix polynomials generating matrix relations recurrence formulas 33c50 33c45 33d15 65n35 Mathematics QA1-939 Abdalla Mohamed Hidan Muajebah Analytical properties of the two-variables Jacobi matrix polynomials with applications
description	In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived. Furthermore, some relationships and applications are reported.
format	article
author	Abdalla Mohamed Hidan Muajebah
author_facet	Abdalla Mohamed Hidan Muajebah
author_sort	Abdalla Mohamed
title	Analytical properties of the two-variables Jacobi matrix polynomials with applications
title_short	Analytical properties of the two-variables Jacobi matrix polynomials with applications
title_full	Analytical properties of the two-variables Jacobi matrix polynomials with applications
title_fullStr	Analytical properties of the two-variables Jacobi matrix polynomials with applications
title_full_unstemmed	Analytical properties of the two-variables Jacobi matrix polynomials with applications
title_sort	analytical properties of the two-variables jacobi matrix polynomials with applications
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/8d0199c34fb04f8e96f025519eaedfd9
work_keys_str_mv	AT abdallamohamed analyticalpropertiesofthetwovariablesjacobimatrixpolynomialswithapplications AT hidanmuajebah analyticalpropertiesofthetwovariablesjacobimatrixpolynomialswithapplications
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Analytical properties of the two-variables Jacobi matrix polynomials with applications

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