Some properties relating to Gegenbauer matrix polynomials in two variables

Abstract EN

His paper deals with the study of some properties of the new kind of Gegenbauer matrix polynomials of two variables.

The matrix differential recurrence relations, partial matrix differential equation of two variable of Gegenbauer matrix polynomials and double generating matrix functions are established.

Furthermore, a bilinear double generating matrix function, a special property and expansion of two variables of Gegenbauer matrix polynomials as series of Hermite matrix polynomials has been presented.