Generating functions and Bezoutians

Abstract: 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.

Keywords: generating function, Bezoutian, Hankel matrix

Classification (MSC91): 15A09, 15A57

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