Mathematics > Classical Analysis and ODEs
arXiv:2605.01406 (math)
[Submitted on 2 May 2026 (v1), last revised 29 May 2026 (this version, v2)]
Abstract:We obtain special solutions of the $q$-Heun equation which are expressed as finite summations of $q$-hypergeometric functions. These solutions are obtained by considering the $q$-integral transformations of the polynomial-type solutions.
Submission history
From: Ayaka Murakami [view email]
[v1]
Sat, 2 May 2026 12:05:47 UTC (20 KB)
[v2]
Fri, 29 May 2026 09:53:54 UTC (21 KB)
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