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This document presents a q-difference analog of the sixth Painlevé equation, which is derived from the condition for preserving the connection matrix of linear q-difference equations. The authors discuss the deformation of a 2x2 matrix system of linear q-difference equations and derive the q-PvI equation, along with its special solutions in terms of q-hypergeometric functions. The work connects the theory of q-difference equations to the monodromy-preserving deformation of linear differential equations, hig

Author

lxq8786

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EN