Semi-classical Laguerre polynomials and a third order discrete integrable equation
Exactly Solvable and Integrable Systems
2010-10-28 v1 Classical Analysis and ODEs
Abstract
A semi-discrete Lax pair formed from the differential system and recurrence relation for semi-classical orthogonal polynomials, leads to a discrete integrable equation for a specific semi-classical orthogonal polynomial weight. The main example we use is a semi-classical Laguerre weight to derive a third order difference equation with a corresponding Lax pair.
Cite
@article{arxiv.0907.2158,
title = {Semi-classical Laguerre polynomials and a third order discrete integrable equation},
author = {P. E. Spicer and F. W. Nijhoff},
journal= {arXiv preprint arXiv:0907.2158},
year = {2010}
}
Comments
11 pages