  The main aim of this paper is to introduce a new class of Lommel matrix
polynomials with the help of hypergeometric matrix function within complex
analysis. We derive several properties such as an entire function, order, type,
matrix recurrence relations, differential equation and integral representations
for Lommel matrix polynomials and discuss its various special cases. Finally,
we establish an entire function, order, type, explicit representation and
several properties of modified Lommel matrix polynomials. There are also
several unique examples of our comprehensive results constructed.
