Formal solutions of linear meromorphic differential systems and summability

zbMath0831.34002MaRDI QIDQ1898388

Michèle Loday-Richaud

Publication date: 23 January 1996

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Newton polygonssummabilityFrobenius methodanalytic solutionsformal solutionscomplex linear ordinary differential equations with meromorphic coefficients

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Special methods of summability (40G99)

Related Items (11)

Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems ⋮ Resurgence-summability of ramified formal series depending of a parameter and solutions of linear differential equations ⋮ \(q\)-deformation of meromorphic solutions of linear differential equations ⋮ Stokes coefficients of the cubic model: a quantum resurgence viewpoint ⋮ On \(q\)-summation and confluence ⋮ Automatic computation of Stokes matrices ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ An algorithm of multisummation of formal power series, solutions of linear ODEs. ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Global asymptotics for multiple integrals with boundaries. ⋮ Formal and numerical computations with resurgent functions

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