Meta Algebras and Biorthogonal Rational Functions: The Hahn Case
Mathematical Physics
2025-09-10 v1 math.MP
Abstract
The finite families of biorthogonal rational functions and orthogonal polynomials of Hahn type are interpreted algebraically in a unified way by considering the three-generated meta Hahn algebra and its finite-dimensional representations. The functions of interest arise as overlaps between eigensolutions of generalized and ordinary eigenvalue problems on the representation space. The orthogonality relations and bispectral properties naturally follow from the framework.
Keywords
Cite
@article{arxiv.2405.05692,
title = {Meta Algebras and Biorthogonal Rational Functions: The Hahn Case},
author = {Satoshi Tsujimoto and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:2405.05692},
year = {2025}
}