Shatalov-Sternin's construction of complex WKB solutions and the choice of integration paths

DOI10.1002/mana.201100312zbMath1312.34137arXiv1111.0834OpenAlexW2963176549MaRDI QIDQ2929425

Alexander Getmanenko

Publication date: 12 November 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0834

zbMATH Keywords

resurgencecomplex WKB

Mathematics Subject Classification ID

Linear ordinary differential equations and systems in the complex domain (34M03) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Cites Work

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• The singularities of the solution of the Cauchy problem
• Differential Equations on Manifolds with Singularities in Classes of Resurgent Functions
• Convergent Liouville–Green expansions for second-order linear differential equations, with an application to Bessel functions
• Exact semiclassical expansions for one-dimensional quantum oscillators
• Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

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