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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Bibliographic Details
Main Authors: Abdalla Mohamed, Hidan Muajebah
Format: article
Language:EN
Published: De Gruyter 2021
Subjects:
Online Access:https://doaj.org/article/8d0199c34fb04f8e96f025519eaedfd9
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Summary: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.