Chebyshev expansions for Abramowitz functions
type: Item
instance of: scholarly article
title: Chebyshev expansions for Abramowitz functions
zbMATH Open document ID: 0755.65020
DOI: 10.1016/0168-9274(92)90035-C
published in: Applied Numerical Mathematics
publication date: 1993-01-16T00:00:00Z
review text: The Abramowitz functions \(J_ n(x)=\int^ x_ 0 t^ n \exp(-t^ 2- x/t)dt\), \(n\) integer, are evaluated by using Chebyshev expansions. Since these functions satisfy the stable recurrence \[ 2J_ n(x)=(n-1)J_{n- 2}(x)+xJ_{n-3}(x),\quad n=3,4,\dots, \] only the coefficients to 20 decimal places of the expansions for \(J_ 0,J_ 1\) and \(J_ 2\) are given.
reviewed by: Luigi Gatteschi
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 33E20
zbMATH DE Number: 89536
zbMATH Keywords: Abramowitz functions
zbMATH Keywords: Chebyshev expansions
zbMATH Keywords: stable recurrence
author: Allan J. MacLeod
MaRDI profile type: Publication
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full work available at URL: 0168-9274(92)90035-c
OpenAlex ID: W2087814186
description: scientific article; zbMATH DE number 89536