Riordan-Bernstein polynomials, Hankel transforms and Somos sequences

Barry, Paul (2012) Riordan-Bernstein polynomials, Hankel transforms and Somos sequences. Journal of Integer Sequences, 15 (8). ISSN 1530-7638

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Abstract

Using the language of Riordan arrays, we define a notion of generalized Bernstein polynomials which are defined as elements of certain Riordan arrays. We characterize the general elements of these arrays, and examine the Hankel transform of the row sums and the first columns of these arrays. We propose conditions under which these Hankel transforms possess the Somos-4 property. We use the generalized Bernstein polynomials to define generalized Bézier curves which can provide a visualization of the effect of the defining Riordan array.

Item Type:	Article
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:06
Last Modified:	03 Feb 2023 00:01
URI:	http://repository-testing.wit.ie/id/eprint/4039

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