Solutions of a modified third Painlevé equation are meromorphic
From MaRDI portal
Publication:1604976
DOI10.1007/BF02788086zbMath1015.34082MaRDI QIDQ1604976
Publication date: 10 July 2002
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Meromorphic functions of one complex variable (general theory) (30D30)
Related Items (12)
A note on value distribution of solutions of certain second order ODEs ⋮ An elementary and direct proof of the Painlevé property for the Painlevé equations I, II and IV ⋮ Value distribution of the fifth Painlevé transcendents in sectorial domains ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation ⋮ Takasaki’s rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations ⋮ Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces ⋮ On Hamiltonian structures of quasi-Painlevé equations ⋮ Normal form for second order differential equations ⋮ A note on meromorphic functions with finite order and of bounded \(l\)-index ⋮ Asymptotic behaviour of the third Painlevé transcendents in the space of initial values ⋮ The meromorphic nature of the sixth Painlevé transcendents
Cites Work
This page was built for publication: Solutions of a modified third Painlevé equation are meromorphic
