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Monodromy and Isomonodromy for Linear $q$-Difference Systems with Coefficient Matrix $Ax+B$

Lin, Jinghong et al.
arXiv (OAI Expanded) · Papers
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classical-analysis-and-odes
In this paper, we construct canonical fundamental solutions for linear $q$-difference systems with coefficient matrix $Ax+B$, develop the associated isomonodromy theory, and study the differential limit as $q\to1$. We determine the asymptotic behavior of generic isomonodromic deformations, and deriv
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