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періодичних видань НАН України
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Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Nakazono, N. | |
| dc.date.accessioned | 2019-02-10T09:57:23Z | |
| dc.date.available | 2019-02-10T09:57:23Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 33D05; 33D15; 33D45; 33E17; 39A13 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.090 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146608 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | The author would like to thank Professors K. Kajiwara, S. Kakei, H. Miki, M. Noumi, and S. Tsujimoto for the useful comments. He also appreciates the valuable comments from the referees which have improved the quality of this paper. This work has been supported by JSPS Grant-in-Aid for Scientific Research No. 22·4366 and the Australian Research Council grant DP130100967. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
