Boletim da Sociedade Paranaense de Matemática (Dec 2022)
Differential equations for certain hybrid special matrix polynomials
Abstract
The main aim of this article is to find the matrix recurrence relation and shift operators for the Gould-Hopper-Laguerre-Appell matrix polynomials. The matrix differential, matrix integro-differential and matrix partial differential equations are derived for these polynomials via factorization method. Certain examples are constructed in order to illustrate the applications of the results.