On finite sequences satisfying linear recursions.

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.

Notes on a family of Riordan arrays and associated integer Hankel transforms.

Barry, Paul, Hennessy, Aoife (2009)

Journal of Integer Sequences [electronic only]

Similarity:

The $k$ -binomial transforms and the Hankel transform.

Spivey, Michael Z., Steil, Laura L. (2006)

Journal of Integer Sequences [electronic only]

Similarity:

The control problem $\dot{x} = (A (1 - u) + B u) x$ : A comment on an article by J. Kučera

Héctor J. Sussmann (1972)

Czechoslovak Mathematical Journal

Similarity: