On -Middle Convolution and -Hypergeometric Equations
The -middle convolution was introduced by Sakai and Yamaguchi. In this paper, we reformulate -integral transformations associated with the -middle convolution. In particular, we discuss the convergence of the -integral transformations. As an application, we obtain -integral representations of soluti...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2023 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211906 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On -Middle Convolution and -Hypergeometric Equations. Yumi Arai and Kouichi Takemura. SIGMA 19 (2023), 037, 40 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862661356176539648 |
|---|---|
| author | Arai, Yumi Takemura, Kouichi |
| author_facet | Arai, Yumi Takemura, Kouichi |
| citation_txt | On -Middle Convolution and -Hypergeometric Equations. Yumi Arai and Kouichi Takemura. SIGMA 19 (2023), 037, 40 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The -middle convolution was introduced by Sakai and Yamaguchi. In this paper, we reformulate -integral transformations associated with the -middle convolution. In particular, we discuss the convergence of the -integral transformations. As an application, we obtain -integral representations of solutions to the variants of the -hypergeometric equation by applying the -middle convolution.
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| first_indexed | 2026-03-16T04:19:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211906 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T04:19:33Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Arai, Yumi Takemura, Kouichi 2026-01-16T10:54:49Z 2023 On -Middle Convolution and -Hypergeometric Equations. Yumi Arai and Kouichi Takemura. SIGMA 19 (2023), 037, 40 pages 1815-0659 2020 Mathematics Subject Classification: 33D15; 39A13 arXiv:2209.02227 https://nasplib.isofts.kiev.ua/handle/123456789/211906 https://doi.org/10.3842/SIGMA.2023.037 The -middle convolution was introduced by Sakai and Yamaguchi. In this paper, we reformulate -integral transformations associated with the -middle convolution. In particular, we discuss the convergence of the -integral transformations. As an application, we obtain -integral representations of solutions to the variants of the -hypergeometric equation by applying the -middle convolution. The authors are grateful to the referees for their valuable comments. JSPS KAKENHI Grant Number JP22K03368 supported the second author. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On -Middle Convolution and -Hypergeometric Equations Article published earlier |
| spellingShingle | On -Middle Convolution and -Hypergeometric Equations Arai, Yumi Takemura, Kouichi |
| title | On -Middle Convolution and -Hypergeometric Equations |
| title_full | On -Middle Convolution and -Hypergeometric Equations |
| title_fullStr | On -Middle Convolution and -Hypergeometric Equations |
| title_full_unstemmed | On -Middle Convolution and -Hypergeometric Equations |
| title_short | On -Middle Convolution and -Hypergeometric Equations |
| title_sort | on -middle convolution and -hypergeometric equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211906 |
| work_keys_str_mv | AT araiyumi onmiddleconvolutionandhypergeometricequations AT takemurakouichi onmiddleconvolutionandhypergeometricequations |