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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Дата: | 2016 |
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Автор: | |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2016
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147747 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1477472019-02-16T01:23:46Z Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ Nakazono, N. 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147747 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Nakazono, N. |
spellingShingle |
Nakazono, N. Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Nakazono, N. |
author_sort |
Nakazono, N. |
title |
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_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_sort |
hypergeometric τ functions of the q-painlevé systems of types a⁽¹⁾₄ and (a₁+a′₁)⁽¹⁾ |
publisher |
Інститут математики НАН України |
publishDate |
2016 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/147747 |
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. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT nakazonon hypergeometrictfunctionsoftheqpainlevesystemsoftypesa14anda1a11 |
first_indexed |
2023-05-20T17:28:12Z |
last_indexed |
2023-05-20T17:28:12Z |
_version_ |
1796153365333278720 |