Middle Convolution and Heun's Equation

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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dc.contributor.author	Takemura, K.
dc.date.accessioned	2019-02-19T17:53:49Z
dc.date.available	2019-02-19T17:53:49Z
dc.date.issued	2009
dc.identifier.citation	Middle 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.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 34M35; 33E10; 34M55
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149166
dc.description.abstract	Heun'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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Middle Convolution and Heun's Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA