The Stokes phenomenon in exact asymptotics

DOI10.2140/pjm.1999.187.13zbMath0952.34074OpenAlexW2020769478MaRDI QIDQ1306240

V. Pereyra

Publication date: 23 August 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.187.13

zbMATH Keywords

Stokes phenomenonirregular singular pointsexact asymptoticsCauchy-Heine transformsMalgrange-Sibuya isomorphismmultisummation

Mathematics Subject Classification ID

Representations of entire functions of one complex variable by series and integrals (30D10) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (5)

Multi-resurgence and connection-to-Stokes formulæ for some linear meromorphic differential systems ⋮ Resurgence and highest level's connection-to-Stokes formulæ for some linear meromorphic differential systems ⋮ Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems ⋮ Automatic computation of Stokes matrices ⋮ Formal and numerical computations with resurgent functions

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