Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin

dc.contributor.author	Kitaev, A.V.
dc.date.accessioned	2025-12-03T14:25:40Z
dc.date.issued	2019
dc.description.abstract	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→+∞.
dc.description.sponsorship	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.
dc.identifier.citation	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.
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2019.046
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34M40; 33E17; 34M50; 34M55; 34M60
dc.identifier.other	arXiv: 1809.00122
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/210176
dc.language.iso	en
dc.publisher	Інститут математики НАН України
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.status	published earlier
dc.title	Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin
dc.type	Article

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