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arxiv: math/9808003 · v1 · submitted 1998-08-03 · 🧮 math.QA · math-ph· math.MP

Higher order Painlev\'e equations of type A⁽¹⁾_l

Masatoshi Noumi , Yasuhiko Yamada This is my paper
classification 🧮 math.QA math-phmath.MP
keywords equationshigherpainlevseriestypeaffinegeneralizationgives
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A series of systems of nonlinear equations with affine Weyl group symmetry of type $A^{(1)}_l$ is studied. This series gives a generalization of Painlev\'e equations $P_{IV}$ and $P_{V}$ to higher orders.

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  1. Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

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    Lecture notes review exact WKB analysis for ODEs and its combination with topological recursion and isomonodromy to compute monodromy and resurgent structures for Painlevé equations.