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arXiv:2207.12777 [math.CA]AbstractReferencesReviewsResources

Hypergeometric solutions for variants of the $q$-hypergeometric equation

Taikei Fujii, Takahiko Nobukawa

Published 2022-07-26Version 1

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.

Comments: 36 pages
Categories: math.CA
Subjects: 33D60, 33D15
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