Jessica
Dickson
Department of
Mathematics and Statistics
Washington State University
Title: Extended Riordan Arrays with Finite
Overlays
Abstract:
This talk focuses on
using Templates and Overlays to characterize extended
Riordan arrays. Extended Riordan arrays are lower
triangular arrays that extend infinitely in all
directions, defined by a pair of ordinary generating
functions. Operators X and Y are
used to shift the array by columns and rows,
respectively. A template is a polynomial
in X and Y whereas an overlay is
an array containing the coefficients of the template.
In this presentation we discuss which extended Riordan
arrays have finite overlays and the form these take.