In this paper, we derive some classical and fractional properties of the rRs matrix function
by using the Hilfer fractional operator. The theory of special matrix functions is the theory of
those matrices that correspond to special matrix functions such as the gamma, beta, and Gauss
hypergeometric matrix functions. We will also show the relationship with other generalized special
matrix functions in the context of the Konhauser and Laguerre matrix polynomials.