Barry, Paul (2019) The γ-vectors of pascal-like triangles defined by riordan arrays. Journal of Integer Sequences, 22 (1). ISSN 1530-7638
Full text not available from this repository. (Request a copy)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 |
Actions (login required)
View Item |