Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter
Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined, and their explicit forms are given for the origin and for infinity. It is shown that they are Borel summable in some specified regions in the space of parameters, and their Borel sums in t...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2022 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211543 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter. Takashi Aoki and Shofu Uchida. SIGMA 18 (2022), 002, 23 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862716518726369280 |
|---|---|
| author | Aoki, Takashi Uchida, Shofu |
| author_facet | Aoki, Takashi Uchida, Shofu |
| citation_txt | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter. Takashi Aoki and Shofu Uchida. SIGMA 18 (2022), 002, 23 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined, and their explicit forms are given for the origin and for infinity. It is shown that they are Borel summable in some specified regions in the space of parameters, and their Borel sums in the areas are given.
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| first_indexed | 2026-03-20T13:56:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211543 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-20T13:56:16Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Aoki, Takashi Uchida, Shofu 2026-01-05T12:30:45Z 2022 Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter. Takashi Aoki and Shofu Uchida. SIGMA 18 (2022), 002, 23 pages 1815-0659 2020 Mathematics Subject Classification: 33C20; 34E20; 34M60 arXiv:2104.13751 https://nasplib.isofts.kiev.ua/handle/123456789/211543 https://doi.org/10.3842/SIGMA.2022.002 Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined, and their explicit forms are given for the origin and for infinity. It is shown that they are Borel summable in some specified regions in the space of parameters, and their Borel sums in the areas are given. The first author is supported by JSPS KAKENHI Grant No. 18K03385. The authors would like to thank the referees for their careful reading and detailed comments on this article. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter Article published earlier |
| spellingShingle | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter Aoki, Takashi Uchida, Shofu |
| title | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter |
| title_full | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter |
| title_fullStr | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter |
| title_full_unstemmed | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter |
| title_short | Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter |
| title_sort | voros coefficients at the origin and at the infinity of the generalized hypergeometric differential equations with a large parameter |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211543 |
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