Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾
We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A₂+A₁)⁽¹⁾. We study their hypergeometric solutions on the level of τ functions.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146518 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Hypergeometric τ Functions of the q-Painlevé Systems of Type ((A₂+A₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 34 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680401753931776 |
|---|---|
| author | Nakazono, N. |
| author_facet | Nakazono, N. |
| citation_txt | Hypergeometric τ Functions of the q-Painlevé Systems of Type ((A₂+A₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 34 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A₂+A₁)⁽¹⁾. We study their hypergeometric solutions on the level of τ functions.
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| first_indexed | 2025-12-07T15:46:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146518 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:46:36Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nakazono, N. 2019-02-09T19:47:12Z 2019-02-09T19:47:12Z 2010 Hypergeometric τ Functions of the q-Painlevé Systems of Type ((A₂+A₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 34 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D05; 33D15; 33E17; 39A13 DOI:10.3842/SIGMA.2010.084 https://nasplib.isofts.kiev.ua/handle/123456789/146518 We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A₂+A₁)⁽¹⁾. We study their hypergeometric solutions on the level of τ functions. The author would like to express sincere thanks to Professor T. Masuda for fruitful discussions and valuable suggestions. I acknowledge continuous encouragement by Professors K. Kajiwara and T. Tsuda. This work has been partially supported by the JSPS Research Fellowship. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ Article published earlier |
| spellingShingle | Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ Nakazono, N. |
| title | Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ |
| title_full | Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ |
| title_fullStr | Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ |
| title_full_unstemmed | Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ |
| title_short | Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ |
| title_sort | hypergeometric τ functions of the q-painlevé systems of type (a₂+a₁)⁽¹⁾ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146518 |
| work_keys_str_mv | AT nakazonon hypergeometricτfunctionsoftheqpainlevesystemsoftypea2a11 |