Asymptotic analysis of nested derivatives

Mathematics – Classical Analysis and ODEs

Scientific paper

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16 pages, 1 figure

Scientific paper

We analyze the nested derivatives of a function $\mathfrak{D}^{n}[f]\,(x)$
asymptotically, as $n\rightarrow\infty,$ using a discrete version of the ray
method. We give some examples showing the accuracy of our formulas.

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