On finite sequences satisfying linear recursions.

Elkies, Noam D.

Displaying similar documents to “On finite sequences satisfying linear recursions.”

The Hankel transform and some of its properties.

Layman, John W. (2001)

Journal of Integer Sequences [electronic only]

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A note on the Hankel transform of the central binomial coefficients.

Garcia Armas, Mario, Sethuraman, B.A. (2008)

Journal of Integer Sequences [electronic only]

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Some properties of the multiple binomial transform and the Hankel transform of shifted sequences.

Pan, Jiaqiang (2011)

Journal of Integer Sequences [electronic only]

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Hankel transforms of linear combinations of Catalan numbers.

Dougherty, Michael, French, Christopher, Saderholm, Benjamin, Qian, Wenyang (2011)

Journal of Integer Sequences [electronic only]

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Generating functions and Bézoutians

Vlastimil Pták (1996)

Mathematica Bohemica

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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]

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

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

Journal of Integer Sequences [electronic only]

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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

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Closed-form expression for Hankel determinants of the Narayana polynomials

Marko D. Petković, Paul Barry, Predrag Rajković (2012)

Czechoslovak Mathematical Journal

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We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation...