Middle Convolution and Heun's Equation

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dc.contributor.authorTakemura, K.
dc.date.accessioned2019-02-19T17:53:49Z
dc.date.available2019-02-19T17:53:49Z
dc.date.issued2009
dc.description.abstractHeun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation. Middle convolutions of the Fuchsian system are related with an integral transformation of Heun's equation.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21–25, 2008, MPIM, Bonn, Germany). The author would like to thank Alexander Kazakov for sending the paper [14] with valuable comments. The author is supported by the Grant-in-Aid for Young Scientists (B) (No. 19740089) from the Japan Society for the Promotion of Science.uk_UA
dc.identifier.citationMiddle Convolution and Heun's Equation / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 33 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 34M35; 33E10; 34M55
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149166
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMiddle Convolution and Heun's Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік