q-Heun equation and initial-value space of q-Painlev\'e equation
| Autor: | Sasaki, Shoko, Takagi, Shun, Takemura, Kouichi |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that the q-Heun equation and its variants appear in the linear q-difference equations associated to some q-Painlev\'e 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-Painlev\'e equation of type $E_8$. Comment: 24 pages |
| Databáze: | arXiv |
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