The problem of differentiating an asymptotic expansion in real powers. I: Unsatisfactory or partial results by classical approaches
type: Item
instance of: scholarly article
title: The problem of differentiating an asymptotic expansion in real powers. I: Unsatisfactory or partial results by classical approaches
zbMATH Open document ID: 1224.41100
author: Antonio Granata
published in: Analysis Mathematica
publication date: 2011-02-08T00:00:00Z
review text: The paper deals with the differentiation of real asymptotic expansions \(f(x)=\sum^n_{i=1} a_i x^{d_i}+O(x^\gamma)\) as \( x\to\infty\), and also of corresponding expansions with \(o\) instead of \(O\), under additional assumptions concerning \(f'\), \(f''\) or a second order differential operator of Euler type. Moreover, the possibility of higher differentiations is investigated. Examples show that some of the results are best possible.
reviewed by: Lothar Berg
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 41A80
zbMATH DE Number: 5848629
zbMATH Keywords: differentiation of asymptotic expansions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5848629