Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\)
type: Item
instance of: scholarly article
title: Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\)
zbMATH Open document ID: 0880.65022
DOI: 10.1016/0377-0427(95)00219-7
published in: Journal of Computational and Applied Mathematics
publication date: 1998-02-02T00:00:00Z
review text: Four nearly mini-max rational approximation formulae for computing the positive zeros of the Bessel function \(J_0 (x)\) are developed, with the relative errors ranging from \((2\cdot 2)\cdot 10^{-4}\) (for the first) to \((1\cdot 6)\cdot 10^{-15}\) (for the fourth).
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 41A20
Mathematics Subject Classification ID: 65D20
zbMATH DE Number: 908363
zbMATH Keywords: mini-max rational approximation
zbMATH Keywords: positive zeros
zbMATH Keywords: Bessel function
author: Frank G. Lether
reviewed by: S. K. Rangarajan
describes a project that uses: ALGOL 60
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00219-7
OpenAlex ID: W2031082720
cites work: Q5558293
cites work: Q5841213
cites work: A Survey of Practical Rational and Polynomial Approximation of Functions
cites work: First One Hundred Zeros of J 0 (x) Accurate to 19 Significant Figures
cites work: An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives
cites work: Q4856171
description: scientific article; zbMATH DE number 908363