Error Bounds for Asymptotic Solutions of Second-Order Differential Equations Having an Irregular Singularity of Arbitrary Rank

Previous article Next article Error Bounds for Asymptotic Solutions of Second-Order Differential Equations Having an Irregular Singularity of Arbitrary RankF. W. J. Olver and F. StengerF. W. J. Olver and F. Stengerhttps://doi.org/10.1137/0702018PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] F. W. J. Olver, On the asymptotic solution of second-order differential equations having an irregular singularity of rank one, with an application to Whittaker functions, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 (1965), 225–243 MR0185350 0173.33901 LinkGoogle Scholar[2] A. Erdélyi, Asymptotic expansions, Dover Publications Inc., New York, 1956vi+108 MR0078494 0070.29002 Google Scholar[3] Frank W. J. Olver, C. H. Wilcox, Error bounds for asymptotic expansions, with an application to cylinder functions of large argumentAsymptotic Solutions of Differential Equations and Their Applications (Proc. Sympos., Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1964), Wiley, New York, 1964, 163–183 MR0168819 0137.26703 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On the Asymptotic and Numerical Solution of Linear Ordinary Differential EquationsSIAM Review, Vol. 40, No. 3 | 2 August 2006AbstractPDF (599 KB)A Connection Problem for Second Order Linear Differential Equations with Two Irregular Singular PointsSIAM Journal on Mathematical Analysis, Vol. 7, No. 2 | 17 February 2012AbstractPDF (1170 KB) Volume 2, Issue 2| 1965Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis205-365 History Submitted:21 August 1964Published online:14 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0702018Article page range:pp. 244-249ISSN (print):0887-459XISSN (online):2168-3581Publisher:Society for Industrial and Applied Mathematics