Extended Krein-Adler theorem for the translationally shape invariant potentials
Exactly Solvable and Integrable Systems
2015-06-17 v1 Mathematical Physics
math.MP
Abstract
Considering successive extensions of primary translationally shape invariant potentials, we enlarge the Krein-Adler theorem to mixed chains of state adding and state-deleting Darboux-B\"acklund transformations. It allows us to establish novel bilinear Wronskian and determinantal identities for classical orthogonal polynomials.
Keywords
Cite
@article{arxiv.1309.3756,
title = {Extended Krein-Adler theorem for the translationally shape invariant potentials},
author = {David Gómez-Ullate and Yves Grandati and Robert Milson},
journal= {arXiv preprint arXiv:1309.3756},
year = {2015}
}
Comments
32 pages, typed in AMS-LaTeX