The γ-vectors of pascal-like triangles defined by riordan arrays

Barry, Paul (2019) The γ-vectors of pascal-like triangles defined by riordan arrays. Journal of Integer Sequences, 22 (1). ISSN 1530-7638

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Abstract

We define and characterize the γ-matrix associated with Pascal-like matrices that are defined by ordinary and exponential Riordan arrays. We also define and characterize the γ-matrix of the reversions of these triangles, in the case of ordinary Riordan arrays. We are led to the γ-matrices of a one-parameter family of generalized Narayana triangles. Thus these matrices generalize the matrix of γ-vectors of the associahedron. The principal tools used are the bivariate generating functions of the triangles and Jacobi continued fractions.

Item Type:	Article
Additional Information:	Publisher Copyright: © 2019, University of Waterloo. All rights reserved.
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:10
Last Modified:	27 Jun 2023 07:05
URI:	http://repository-testing.wit.ie/id/eprint/4442

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