Exponentially small contributions can change their asymptotic representation when a complex parameter crosses a Stokes direction. An all-orders asymptotic expansion in inverse powers alone does not resolve these terms.
Stokes phenomenon is a concept in the field of asymptotic analysis, particularly in the study of differential equations and complex analysis. It describes a behavior that occurs in the context of asymptotic expansions of solutions to differential equations when crossing certain "Stokes lines" in the complex plane.
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