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

Abstract

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.

Keywords

• jacobi matrix polynomials
• generating matrix relations
• recurrence formulas
• 33c50
• 33c45
• 33d15
• 65n35