Titlebook: Composite Asymptotic Expansions; Augustin Fruchard,Reinhard Sch?fke Book 2013 Springer-Verlag Berlin Heidelberg 2013 Gevrey expansions.com

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0075-8434 nsions.Generalizes the classical theory of Gevrey asymptoticThe purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Su

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,Zufallsgr??en und Verteilungen,he classical theory of asymptotic expansions uniform in a full neighborhood of a turning point. In the present chapter, we generalize this concept to composite expansions and thus to expansions valid on quasi-sectors with vertex at a turning point.

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,A Theorem of Ramis–Sibuya Type, the associated formal series . and . are the same.Differently from the classical theory, the differences on the intersections of the .-domains are . whereas the differences on the intersections of the η-domains are ., ., . > 0. In the neighborhood of the origin, we therefore do necessarily not have a classical Gevrey expansion.

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