Kernel Function, -Integral Transformation and -Heun Equations
We find kernel functions of the -Heun equation and its variants. We apply them to obtain -integral transformations of solutions to the -Heun equation and its variants. We discuss special solutions of the -Heun equation from the perspective of the -integral transformation.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2024 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212612 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Kernel Function, -Integral Transformation and -Heun Equations. Kouichi Takemura. SIGMA 20 (2024), 083, 22 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632772373315584 |
|---|---|
| author | Takemura, Kouichi |
| author_facet | Takemura, Kouichi |
| citation_txt | Kernel Function, -Integral Transformation and -Heun Equations. Kouichi Takemura. SIGMA 20 (2024), 083, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We find kernel functions of the -Heun equation and its variants. We apply them to obtain -integral transformations of solutions to the -Heun equation and its variants. We discuss special solutions of the -Heun equation from the perspective of the -integral transformation.
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| first_indexed | 2026-03-14T20:34:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212612 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T20:34:13Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Takemura, Kouichi 2026-02-09T08:06:16Z 2024 Kernel Function, -Integral Transformation and -Heun Equations. Kouichi Takemura. SIGMA 20 (2024), 083, 22 pages 1815-0659 2020 Mathematics Subject Classification: 39A13; 44A20 arXiv:2309.09341 https://nasplib.isofts.kiev.ua/handle/123456789/212612 https://doi.org/10.3842/SIGMA.2024.083 We find kernel functions of the -Heun equation and its variants. We apply them to obtain -integral transformations of solutions to the -Heun equation and its variants. We discuss special solutions of the -Heun equation from the perspective of the -integral transformation. The author is grateful to Yumi Arai for the discussion. He also thanks the referees for their valuable comments. He is supported by JSPS KAKENHI Grant Number JP22K03368. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Kernel Function, -Integral Transformation and -Heun Equations Article published earlier |
| spellingShingle | Kernel Function, -Integral Transformation and -Heun Equations Takemura, Kouichi |
| title | Kernel Function, -Integral Transformation and -Heun Equations |
| title_full | Kernel Function, -Integral Transformation and -Heun Equations |
| title_fullStr | Kernel Function, -Integral Transformation and -Heun Equations |
| title_full_unstemmed | Kernel Function, -Integral Transformation and -Heun Equations |
| title_short | Kernel Function, -Integral Transformation and -Heun Equations |
| title_sort | kernel function, -integral transformation and -heun equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212612 |
| work_keys_str_mv | AT takemurakouichi kernelfunctionintegraltransformationandheunequations |