On q-Deformations of the Heun Equation

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dc.contributor.authorTakemura, K.
dc.date.accessioned2025-11-26T12:24:29Z
dc.date.issued2018
dc.description.abstractThe q-Heun equation and its variants arise as degenerations of Ruijsenaars-van Diejen operators with one particle. We investigate local properties of these equations. In particular, we characterize the variants of the q-Heun equation by using analysis of regular singularities. We also consider the quasi-exact solvability of the q-Heun equation and its variants. Namely, we investigate finite-dimensional subspaces that are invariant under the action of the q-Heun operator or variants of the q-Heun operator.
dc.description.sponsorshipThe author is grateful to Simon Ruijsenaars for valuable comments and fruitful discussions. He thanks the referees and the editor for their useful comments. He is supported by JSPS KAKENHI Grant Number JP26400122.
dc.identifier.citationOn q-Deformations of the Heun Equation / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.061
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 39A13; 33E10
dc.identifier.otherarXiv: 1712.09564
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209789
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleOn q-Deformations of the Heun Equation
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік