Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation
We consider a q-Painlevé IV equation which is the A₄⁽¹⁾-surface type in the Sakai's classification. We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric functions. Two of them are expressed by ₂φ₁ basic hypergeometric series a...
Збережено в:
| Дата: | 2014 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146608 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 41 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146608 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1466082019-02-11T01:23:14Z Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation Nakazono, N. We consider a q-Painlevé IV equation which is the A₄⁽¹⁾-surface type in the Sakai's classification. We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric functions. Two of them are expressed by ₂φ₁ basic hypergeometric series and the other is given by ₂ψ₂ bilateral basic hypergeometric series. 2014 Article Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 41 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D05; 33D15; 33D45; 33E17; 39A13 DOI:10.3842/SIGMA.2014.090 http://dspace.nbuv.gov.ua/handle/123456789/146608 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 a q-Painlevé IV equation which is the A₄⁽¹⁾-surface type in the Sakai's classification. We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric functions. Two of them are expressed by ₂φ₁ basic hypergeometric series and the other is given by ₂ψ₂ bilateral basic hypergeometric series. |
| format |
Article |
| author |
Nakazono, N. |
| spellingShingle |
Nakazono, N. Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Nakazono, N. |
| author_sort |
Nakazono, N. |
| title |
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation |
| title_short |
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation |
| title_full |
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation |
| title_fullStr |
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation |
| title_full_unstemmed |
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation |
| title_sort |
hypergeometric solutions of the a₄⁽¹⁾-surface q-painlevé iv equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146608 |
| citation_txt |
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 41 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT nakazonon hypergeometricsolutionsofthea41surfaceqpainleveivequation |
| first_indexed |
2023-05-20T17:25:12Z |
| last_indexed |
2023-05-20T17:25:12Z |
| _version_ |
1796153251063660544 |