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:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.097