Series Expansions of Painlevé Transcendents near the Point at Infinity

DOI10.1619/fesi.58.277zbMath1344.34097OpenAlexW1426492656MaRDI QIDQ3451056

Shun Shimomura

Publication date: 10 November 2015

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.58.277

zbMATH Keywords

asymptotic solutionsHamiltonian systemsPainlevé equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (5)

Three-parameter solutions of the PV Schlesinger-type equation near the point at infinity and the monodromy data ⋮ On a general singular solution of the fifth Painlevé equation along the positive real axis ⋮ ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS ⋮ Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter ⋮ Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries

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