Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation
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| Creator |
Nakazono, N.
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| 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.
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| Date |
2019-02-10T09:57:23Z
2019-02-10T09:57:23Z 2014 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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