@UNPUBLISHED{publication1, title = "Matrix biorthogonal polynomials, associated polynomials and functions of the second kind", author = "{BRANQUINHO, Am{\ยด{i}}lcar} and {GARC{\'{I}}A-ARDILA, Juan C.} and {MARCELL{\'{A}}N, Francisco}", year = "2017-08-04", abstract = " In this work the interplay between matrix biorthogonal polynomials with respect to a matrix of linear functionals, the k-th associated matrix polynomials and the second kind matrix functions, is studied in terms of quasideterminants. A sort of Poincar\é's theorem for the ratio of two consecutive matrix functions solutions of a linear difference equation is also presented. Some new formulas connecting these families of matrix functions are given. ", url = "http://www.mat.uc.pt/preprints/eng\_2017.html", note = "" }