Asymptotic analysis of nested derivatives

2012/04/26 by Diego Dominici, Dominici, Diego
Mathematics · #33B20 (Primary) 30B10 #34K25 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Mathematics and Applications #advanced mathematical theories #math.CA #msc:30B10 #msc:33B20 #msc:34K25

paper · pdf · doi:10.48550/arxiv.1204.5804

16 pages, 1 figure

arxiv created 2012/04/26 · openalex publication_date 2012/04/26 · arxiv updated 2012/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the nested derivatives of a function \mathfrakDⁿ[f] (x) asymptotically, as n→∞, using a discrete version of the ray method. We give some examples showing the accuracy of our formulas.

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