On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties

Abstract

In this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas and recurrence relations associated with them. Additionally, we present a segment detailing integral formulas for the extended matrix Bessel polynomials. Lastly, we introduce the Laplace–Carson transform for the two-variable matrix Bessel polynomial analogue.

Keywords

• matrix Bessel polynomials
• recurrence relations
• integral representations
• Laplace–Carson transform