An algebraic treatment of the Pastro polynomials on the real line
Classical Analysis and ODEs
2022-10-28 v1 Mathematical Physics
math.MP
Abstract
The properties of the Pastro polynomials on the real line are studied with the help of a triplet of -difference operators. The -difference equation and recurrence relation these polynomials obey are shown to arise as generalized eigenvalue problems involving the triplet of operators, with the Pastro polynomials as solutions. Moreover, a discrete biorthogonality relation on the real line for the Pastro polynomials is obtained and is then understood using adjoint operators. The algebra realized by the triplet of -difference operators is investigated.
Keywords
Cite
@article{arxiv.2210.15260,
title = {An algebraic treatment of the Pastro polynomials on the real line},
author = {Vutha Vichhea Chea and Luc Vinet and Meri Zaimi and Alexei Zhedanov},
journal= {arXiv preprint arXiv:2210.15260},
year = {2022}
}
Comments
14 pages