This work introduces configurations for q-difference equations, characterizing solutions in the q-hypergeometric context.
We introduce a configuration of a q-difference equation and characterize the variants of the q-hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by configurations. We show integral solutions and series solutions for the variants of the q-hypergeometric equation.
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Fujii et al. (2026) studied this question.
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