Expansions of solutions to the fifth Painlevé equation near its nonsingular point

DOI10.1134/S1064562412010292zbMath1242.34155MaRDI QIDQ416945

A. V. Parusnikova, Alexander D. Bruno

Publication date: 10 May 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (4)

Power geometry and elliptic expansions of solutions to the Painlevé equations ⋮ On convergent series expansions for solutions of nonlinear ordinary differential equations ⋮ Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics ⋮ On the exact Gevrey order of formal Puiseux series solutions to the third Painlevé equation

Cites Work

• Expansion of solutions to the fifth Painlevé equation in a neighborhood of a nonsingular point
• Asymptotic expansions of solutions of the sixth Painlevé equation
• Asymptotic behaviour and expansions of solutions of an ordinary differential equation
• Unnamed Item

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