Chebyshev-type matrix polynomials and integral transforms

In this study we introduce a new type generalization of Chebyshevmatrix polynomials of second kind by using the integral representation. We obtain their matrix recurrence relations, matrix differentialequation and generating matrix functions. We investigate operationalrules associated with operators corresponding to Chebyshev-type matrix polynomials of second kind. Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshevtype matrix polynomials of first kind.