Semi-classical Laguerre polynomials and a third order discrete integrable equation

Autor:	Spicer, P. E., Nijhoff, F. W.
Rok vydání:	2009
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/42/45/454019
Popis:	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. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0907.2158 Zobrazit plný text záznamu View this record from Arxiv