Abstract
We study analytic properties of solutions to the q-Painlevé VI equation (q-PVI), which was derived by Jimbo and Sakai as the compatibility condition for a connection preserving deformation (CPD) of a linear q-difference equation. We investigate local behaviours of solutions to q-PVI around a boundary point making use of the structure of the CPD. We also give a formula connecting the local behaviours of a solution around two boundary points. The results in this paper should be useful in future for studying more detailed global properties of solutions to q-PVI or exploring new special solutions with remarkable analytic properties.
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