$R_I$ biorthogonal polynomials of Hahn type
Classical Analysis and ODEs
2022-09-16 v1 Mathematical Physics
math.MP
Abstract
A finite family of polynomials is introduced and studied. It consists in a set of polynomials of form whose biorthogonality to an ensemble of rational functions is spelled out. These polynomials are shown to satisfy two generalized eigenvalue problems: in addition to their recurrence relation of type, they are also found to obey a difference equation. Underscoring this bispectrality is a triplet of operators with tridiagonal actions.
Cite
@article{arxiv.2209.07433,
title = {$R_I$ biorthogonal polynomials of Hahn type},
author = {Luc Vinet and Meri Zaimi and Alexei Zhedanov},
journal= {arXiv preprint arXiv:2209.07433},
year = {2022}
}
Comments
15 pages