Construction of a Lax Pair for the E_6^{(1)} q-Painlevé System

We construct a Lax pair for the $ E^{(1)}_6 $ $q$-Painlevé system from first principles by employing the general theory ofsemi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, quadratic lattices [arXiv:1204.2328]. Our study treats one special case of...

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Bibliographic Details
Published in:	Symmetry, Integrability and Geometry: Methods and Applications
Main Authors:	Christopher M. Ormerod, Nicholas S. Witte
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2012-12-01
Subjects:	non-uniform lattices divided-difference operators orthogonal polynomials semi-classical weights isomonodromic deformations Askey table
Online Access:	http://dx.doi.org/10.3842/SIGMA.2012.097

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