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arxiv: 0810.0058 · v1 · submitted 2008-10-01 · 🌊 nlin.SI

Lax forms of the q-Painlev\'e equations

classification 🌊 nlin.SI
keywords painlevequationsequationanalogassociatedcharacterizeddatadegeneration
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All $q$-Painlev\'e equations which are obtained from the $q$-analog of the sixth Painlev\'e equation are expressed in a Lax formalism. They are characterized by the data of the associated linear $q$-difference equations. The degeneration pattern from the $q$-Painlev\'e equation of type $A_2$ is also presented.

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