All asymptotic expansions of solutions to the sixth Painlevé equation
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Publication:957809
DOI10.1134/S1064562407060129zbMath1158.34347MaRDI QIDQ957809
Alexander D. Bruno, Irina Goryuchkina
Publication date: 1 December 2008
Published in: Doklady Mathematics (Search for Journal in Brave)
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
On the convergence of formal exotic series solutions of an ODE ⋮ Pole distribution of PVI transcendents close to a critical point ⋮ The sixth Painlevé transcendents and the associated Schlesinger equation ⋮ Basic expansions of solutions to the sixth Painlevé equation in the generic case ⋮ All expansions of solutions to the sixth Painlevé equation near its nonsingular point ⋮ Asymptotic expansions of solutions of the sixth Painlevé equation
Cites Work
- Complicated expansions of solutions to an ordinary differential equation
- On the critical behavior, the connection problem and the elliptic representation of a Painlevé VI equation
- Painlevé differential equations in the complex plane
- Expansions of solutions to the sixth Painlevé equation in the cases \(a= 0\) and \(b = 0\)
- Asymptotic behaviour and expansions of solutions of an ordinary differential equation
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