Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾
We consider q-Painlevé equations arising from birational representations of the extended affine Weyl groups of A⁽¹⁾₄- and (A₁+A₁)⁽¹⁾-types. We study their hypergeometric solutions on the level of τ functions.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147747 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 59 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862566181744934912 |
|---|---|
| author | Nakazono, N. |
| author_facet | Nakazono, N. |
| citation_txt | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 59 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider q-Painlevé equations arising from birational representations of the extended affine Weyl groups of A⁽¹⁾₄- and (A₁+A₁)⁽¹⁾-types. We study their hypergeometric solutions on the level of τ functions.
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| first_indexed | 2025-11-26T00:08:36Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147747 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T00:08:36Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nakazono, N. 2019-02-15T19:07:09Z 2019-02-15T19:07:09Z 2016 Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 59 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D05; 33D15; 33E17; 39A13 DOI:10.3842/SIGMA.2016.051 https://nasplib.isofts.kiev.ua/handle/123456789/147747 We consider q-Painlevé equations arising from birational representations of the extended affine Weyl groups of A⁽¹⁾₄- and (A₁+A₁)⁽¹⁾-types. We study their hypergeometric solutions on the level of τ functions. The author would like to express his sincere thanks to Dr. Milena Radnovic for her valuable
 comments. This research was supported by grant # DP130100967 from the Australian Research
 Council. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ Article published earlier |
| spellingShingle | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ Nakazono, N. |
| title | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ |
| title_full | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ |
| title_fullStr | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ |
| title_full_unstemmed | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ |
| title_short | Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ |
| title_sort | hypergeometric τ functions of the q-painlevé systems of types a⁽¹⁾₄ and (a₁+a′₁)⁽¹⁾ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147747 |
| work_keys_str_mv | AT nakazonon hypergeometricτfunctionsoftheqpainlevesystemsoftypesa14anda1a11 |