generating function; Bézoutian; Hankel matrix
Using the idea of the generating function of a matrix in an extended sense we establish a Bezoutian type formula for a matrix $M$ satisfying an intertwining relation of the form $M A^T = A M$. In the particular case of classical generating functions this formula gives a simple proof of Lander's theorem on the inverse of a Hankel matrix.
 G. Heinig K. Rost: Algebraic Methods for Toeplitz-like matrices and operators
. Akademie-Verlag Berlin (1984). MR 0782105
 F. I. Lander: The Bezoutian and the inversion of Hankel and Toeplitz matrices
. Matem. Issled. Kishinev 9 (1974), 69-87. (In Russian.) MR 0437559