Combinatorics of orthogonal polynomials of type $R_I$
Combinatorics
2022-10-04 v3 Classical Analysis and ODEs
Abstract
A combinatorial theory for type orthogonal polynomials is given. The ingredients include weighted generalized Motzkin paths, moments, continued fractions, determinants, and histories. Several explicit examples in the Askey scheme are given.
Keywords
Cite
@article{arxiv.2009.14475,
title = {Combinatorics of orthogonal polynomials of type $R_I$},
author = {Jang Soo Kim and Dennis Stanton},
journal= {arXiv preprint arXiv:2009.14475},
year = {2022}
}
Comments
47 pages, 11 figures