Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits

Jorge Borrego, Mirta Castro, Antonio J. Durán

We introduce a family of weight matrices $W$ of the form $T(t)T^{\ast }(t)$, $T(t)=e^{\mathcal{A}t}{e}^{\mathcal{D}{t}^2}$, where $\mathcal{A}$ is certain nilpotent matrix and $\mathcal{D}$…