Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Hypergeometric Solutions for Variants of the q-Hypergeometric Equation
Taikei Fujii, Takahiko Nobukawa
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Keywords: q-Hypergeometric equation, Jackson integral of Jordan-Pochhammer type, Very-well-poised q-hypergeometric equation, Point configuration
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2026 Volume 69 Issue 2 Pages 119-156

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Abstract

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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© 2026 by the Division of Functional Equations, The Mathematical Society of Japan
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