A certain generalization of q-hypergeometric functions and their related monodromy preserving deformation II

2020/05/11 by Park, Kanam
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2005.04992

Abstract

We define a nonlinear q-difference system mathcalP_N,(M-,M+) as monodromy preserving deformations of a certain linear equation. We study its relation to a series mathcalF_N,M defined as a certain generalization of q-hypergeometric functions.

Related

• A certain generalization of q-hypergeometric functions and their\n related monodromy preserving deformation
• Quadratic equations and monodromy evolving deformations
• The space of monodromy data for the Jimbo-Sakai family of q-difference\n equations
• The monodromy representation of a hypergeometric system in m variables of rank p^m
• Systèmes aux q-différences singuliers réguliers: solutions canoniques, classification, matrice de connexion et monodromie