$a$-potent Schwarz matrices and Bessel-like Jacobi polynomials
Classical Analysis and ODEs
2024-06-18 v1 Spectral Theory
Abstract
We consider the problem of the reconstruction of a Schwarz matrix from exactly one given eigenvalue. This inverse eigenvalue problem leads to the Jacobi orthogonal polynomials~ that can be treated as a discrete finite analogue of Bessel polynomials.
Cite
@article{arxiv.2406.11032,
title = {$a$-potent Schwarz matrices and Bessel-like Jacobi polynomials},
author = {Alexander Dyachenko and Carlos M. da Fonseca and Mikhail Tyaglov},
journal= {arXiv preprint arXiv:2406.11032},
year = {2024}
}