Middle Convolution and Heun's Equation
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 transformati...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149166 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Middle Convolution and Heun's Equation / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 33 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862533415045169152 |
|---|---|
| author | Takemura, K. |
| author_facet | Takemura, K. |
| citation_txt | Middle Convolution and Heun's Equation / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 33 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-24T06:31:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149166 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T06:31:53Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Takemura, K. 2019-02-19T17:53:49Z 2019-02-19T17:53:49Z 2009 Middle Convolution and Heun's Equation / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 33 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 34M35; 33E10; 34M55 https://nasplib.isofts.kiev.ua/handle/123456789/149166 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Middle Convolution and Heun's Equation Article published earlier |
| spellingShingle | Middle Convolution and Heun's Equation Takemura, K. |
| title | Middle Convolution and Heun's Equation |
| title_full | Middle Convolution and Heun's Equation |
| title_fullStr | Middle Convolution and Heun's Equation |
| title_full_unstemmed | Middle Convolution and Heun's Equation |
| title_short | Middle Convolution and Heun's Equation |
| title_sort | middle convolution and heun's equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149166 |
| work_keys_str_mv | AT takemurak middleconvolutionandheunsequation |