Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation

DOI10.4310/MRL.1997.V4.N5.A12zbMath0889.34003MaRDI QIDQ1378342

F. V. Andreev, Alexander V. Kitaev

Publication date: 29 June 1998

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

Borel transformasymptotic expansionsisomonodromy deformationPainlevé equationsperiodic functions

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other functions coming from differential, difference and integral equations (33E30) Abel, Borel and power series methods (40G10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Analytic continuation of functions of one complex variable (30B40)

Related Items (5)

ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS ⋮ A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation ⋮ Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces ⋮ Frequency of \(a\)-points for the fifth and the third Painlevé transcendents in a sector ⋮ Truncated solutions of Painlevé equation \({\mathrm P}_{\mathrm V}\)

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