The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation

DOI10.1016/j.jde.2008.02.012zbMath1147.34064arXiv0706.1773OpenAlexW2963178239MaRDI QIDQ924845

Christiane Rousseau, Caroline Lambert

Publication date: 19 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1773

zbMATH Keywords

monodromydivergent seriessummabilityRiccati equationanalytic continuationconfluenceconfluent hypergeometric equationStokes phenomenonhypergeometric equation

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (5)

On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation ⋮ Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1 ⋮ Analytic classification of families of linear differential systems unfolding a resonant irregular singularity ⋮ Stokes matrices of a reducible double confluent Heun equation via monodromy matrices of a reducible general Heun equation with symmetric finite singularities ⋮ Coalescing Complex Planar Stationary Points

Cites Work

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• Birkhoff invariants and effective calculations for meromorphic linear differential equations. I
• Confluence of several regular singular points into an irregular singular one
• The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point
• The special functions and their approximations. Vol. I, II

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