Constant coefficient Laurent biorthogonal polynomials, Riordan arrays and moment sequences
Combinatorics
2019-06-18 v1
Abstract
We study properties of constant coefficient Laurent biorthogonal polynomials using Riordan arrays. We give details of related orthogonal polynomials, and we explore relationships between the moments of these orthogonal polynomials, the moments of the defining Laurent biorthogonal polynomials, and the expansions of -fractions. Closed form expressions are given for the polynomials and their moments.
Keywords
Cite
@article{arxiv.1906.06370,
title = {Constant coefficient Laurent biorthogonal polynomials, Riordan arrays and moment sequences},
author = {Paul Barry},
journal= {arXiv preprint arXiv:1906.06370},
year = {2019}
}
Comments
14 pages