-Middle Convolution and -Painlevé Equation
A -deformation of the middle convolution was introduced by Sakai and Yamaguchi. We apply it to a linear -difference equation associated with the -Painlevé VI equation. Then we obtain integral transformations. We investigate the -middle convolution in terms of the affine Weyl group symmetry of the -P...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211731 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | -Middle Convolution and -Painlevé Equation. Shoko Sasaki, Shun Takagi and Kouichi Takemura. SIGMA 18 (2022), 056, 21 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724169397960704 |
|---|---|
| author | Sasaki, Shoko Takagi, Shun Takemura, Kouichi |
| author_facet | Sasaki, Shoko Takagi, Shun Takemura, Kouichi |
| citation_txt | -Middle Convolution and -Painlevé Equation. Shoko Sasaki, Shun Takagi and Kouichi Takemura. SIGMA 18 (2022), 056, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A -deformation of the middle convolution was introduced by Sakai and Yamaguchi. We apply it to a linear -difference equation associated with the -Painlevé VI equation. Then we obtain integral transformations. We investigate the -middle convolution in terms of the affine Weyl group symmetry of the -Painlevé VI equation. We deduce an integral transformation on the -Heun equation.
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| first_indexed | 2026-03-21T06:43:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211731 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T06:43:27Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sasaki, Shoko Takagi, Shun Takemura, Kouichi 2026-01-09T12:54:09Z 2022 -Middle Convolution and -Painlevé Equation. Shoko Sasaki, Shun Takagi and Kouichi Takemura. SIGMA 18 (2022), 056, 21 pages 1815-0659 2020 Mathematics Subject Classification: 33E10; 34M55; 39A13 arXiv:2201.03960 https://nasplib.isofts.kiev.ua/handle/123456789/211731 https://doi.org/10.3842/SIGMA.2022.056 A -deformation of the middle convolution was introduced by Sakai and Yamaguchi. We apply it to a linear -difference equation associated with the -Painlevé VI equation. Then we obtain integral transformations. We investigate the -middle convolution in terms of the affine Weyl group symmetry of the -Painlevé VI equation. We deduce an integral transformation on the -Heun equation. The authors are grateful to the referees for careful reading of the manuscript and valuable comments. The third author was supported by JSPS KAKENHI Grant Number JP18K03378. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications -Middle Convolution and -Painlevé Equation Article published earlier |
| spellingShingle | -Middle Convolution and -Painlevé Equation Sasaki, Shoko Takagi, Shun Takemura, Kouichi |
| title | -Middle Convolution and -Painlevé Equation |
| title_full | -Middle Convolution and -Painlevé Equation |
| title_fullStr | -Middle Convolution and -Painlevé Equation |
| title_full_unstemmed | -Middle Convolution and -Painlevé Equation |
| title_short | -Middle Convolution and -Painlevé Equation |
| title_sort | -middle convolution and -painlevé equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211731 |
| work_keys_str_mv | AT sasakishoko middleconvolutionandpainleveequation AT takagishun middleconvolutionandpainleveequation AT takemurakouichi middleconvolutionandpainleveequation |