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: | English |
| Veröffentlicht: |
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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ |
| spellingShingle |
Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ Nakazono, N. |
| title_short |
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_sort |
hypergeometric τ functions of the q-painlevé systems of type (a₂+a₁)⁽¹⁾ |
| author |
Nakazono, N. |
| author_facet |
Nakazono, N. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146518 |
| 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. |
| work_keys_str_mv |
AT nakazonon hypergeometricτfunctionsoftheqpainlevesystemsoftypea2a11 |
| first_indexed |
2025-12-07T15:46:36Z |
| last_indexed |
2025-12-07T15:46:36Z |
| _version_ |
1850864982344859648 |