Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin
We prove that there exists a unique odd meromorphic solution of dP3, u(τ), such that u(0) = 0, and study some of its properties, mainly: the coefficients of its Taylor expansion at the origin and asymptotic behaviour as τ→+∞.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2019 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210176 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin / A.V. Kitaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 13 назв. — англ. |
Репозитарії
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Kitaev, A.V. 2025-12-03T14:25:40Z 2019 Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin / A.V. Kitaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 13 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 34M40; 33E17; 34M50; 34M55; 34M60 arXiv: 1809.00122 https://nasplib.isofts.kiev.ua/handle/123456789/210176 https://doi.org/10.3842/SIGMA.2019.046 We prove that there exists a unique odd meromorphic solution of dP3, u(τ), such that u(0) = 0, and study some of its properties, mainly: the coefficients of its Taylor expansion at the origin and asymptotic behaviour as τ→+∞. The author is grateful to P.D. Miller and B.I. Suleimanov for discussions of the papers [1, 11]. The author is indebted to the referees for their significant contribution to improving the quality of the original version of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin |
| spellingShingle |
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin Kitaev, A.V. |
| title_short |
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin |
| title_full |
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin |
| title_fullStr |
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin |
| title_full_unstemmed |
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin |
| title_sort |
meromorphic solution of the degenerate third painlevé equation vanishing at the origin |
| author |
Kitaev, A.V. |
| author_facet |
Kitaev, A.V. |
| publishDate |
2019 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We prove that there exists a unique odd meromorphic solution of dP3, u(τ), such that u(0) = 0, and study some of its properties, mainly: the coefficients of its Taylor expansion at the origin and asymptotic behaviour as τ→+∞.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210176 |
| citation_txt |
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin / A.V. Kitaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 13 назв. — англ. |
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2025-12-07T21:24:38Z |
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2025-12-07T21:24:38Z |
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1850886249283321856 |