A q-anaolg of the sixth Painlevé equation
Michio Jimbo, Hidetaka Sakai
Abstract
A q-difference analog of the sixth Painlevé equation is presented. It arises as the condition for preserving the connection matrix of linear q-difference equations, in close analogy with the monodromy preserving deformation of linear differential equations. The continuous limit and special solutions in terms of q-hypergeometric functions are also discussed.
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