Constrained near-minimax rational approximations to Dawson's integral
type: Item
instance of: scholarly article
title: Constrained near-minimax rational approximations to Dawson's integral
zbMATH Open document ID: 0905.65037
DOI: 10.1016/S0096-3003(96)00330-X
author: Frank G. Lether
published in: Applied Mathematics and Computation
publication date: 1998-10-08T00:00:00Z
review text: Dawson's integral \[ F(x)= e^{-x^2} \int^x_0 e^{t^2}dt \] is important in several physical problems. The author obtains some constrained near-minimax rational approximation formulas for computing \(F(x)\). One of the approximations is \[ {F(x) \over x} \approx {1+{33 \over 232} x^2+ {19\over 632} x^4+ {23\over 1471} x^6\over 1+ {517 \over 646} x^2+ {58 \over 173} x^4+ {11\over 262} x^6+{46 \over 1471} x^8}. \]
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33B20
zbMATH DE Number: 1183220
zbMATH Keywords: Dawson's integral
zbMATH Keywords: near-minimax rational approximation
reviewed by: Dumitru Acu
describes a project that uses: Cephes
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1183220