Meta Algebras and Special Functions: the Racah Case
Classical Analysis and ODEs
2026-04-01 v1 Mathematical Physics
math.MP
Abstract
Finite families of biorthogonal rational functions and orthogonal polynomials of Racah-type are studied within a unified algebraic framework based on the meta Racah algebra and its finite-dimensional representations. These functions are identified as overlap coefficients between eigensolutions of generalized and standard eigenvalue problems posited on the representation space. The approach naturally yields their orthogonality relations and bispectral properties.
Keywords
Cite
@article{arxiv.2603.28839,
title = {Meta Algebras and Special Functions: the Racah Case},
author = {Nicolas Crampé and Quentin Labriet and Lucia Morey and Satoshi Tsujimoto and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:2603.28839},
year = {2026}
}
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