From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities
Numerical Analysis
2026-01-21 v1 Numerical Analysis
Abstract
In this paper we derive new identities satisfied by Chebyshev polynomials of the first kind and big q-Jacobi polynomials. An immediate benefit of the derived identities is the achievement of closed-form expressions for the Laurent polynomials that identify minimum-support interpolating subdivision schemes reproducing finite sets of integer powers of exponentials.
Keywords
Cite
@article{arxiv.2601.14189,
title = {From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities},
author = {Leonard Peter Bos and Lucia Romani and Alberto Viscardi},
journal= {arXiv preprint arXiv:2601.14189},
year = {2026}
}