2021/10/26 by Shoko Sasaki, Sasaki, Shoko, Shun Takagi +3 · 1 citation
Mathematics · Physics and Astronomy · #33E17 #39A13 #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #Computer science #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Initial value problem #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Space (punctuation) #Statistics #Value (mathematics) #math-ph #math.CA #math.MP #msc:33E17 #msc:39A13
paper · pdf · doi:10.48550/arxiv.2110.13860
published in arXiv (Cornell University) (Cornell University) · 24 pages
arxiv created 2021/10/26 · openalex publication_date 2021/10/26 · arxiv updated 2021/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We show that the q-Heun equation and its variants appear in the linear q-difference equations associated to some q-Painlevé equations by considering the blow-up associated to their initial-value spaces. We obtain the firstly degenerated Ruijsenaars-van Diejen operator from the linear q-difference equation associated to the q-Painlevé equation of type E8.