On the instanton-type expansions for Painlevé transcendents and elliptic functions

DOI10.1515/9783110611427-014zbMath1444.33013OpenAlexW3128766902MaRDI QIDQ3299937

Yoshitsugu Takei

Publication date: 27 July 2020

Published in: Complex Differential and Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110611427-014

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Elliptic functions and integrals (33E05) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Painlevé-type functions (33E17) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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