Structural formulas for orthogonal matrix polynomials satisfying second order differential equations , I ∗

@inproceedings{Durn2004StructuralFF,
  title={Structural formulas for orthogonal matrix polynomials satisfying second order differential equations , I ∗},
  author={Antonio J. Dur{\'a}n and F. Alberto Gr{\"u}nbaum},
  year={2004}
}
We develop structural formulas satisfied by some families of orthogonal matrix polynomials of size 2× 2 satisfying second order differential equations with polynomial coefficients. We consider here two one parametric families of weight matrices, namely Ha,1(t) = e −t ( 1 + |a|t at āt 1 ) and Ha,2(t) = e −t ( 1 + |a|t at āt 2 1 ) , a ∈ C and t ∈ R, and their corresponding orthogonal polynomials.