Stationary Phase with Neighboring Critical Points

Abstract

Previous article Next article Stationary Phase with Neighboring Critical PointsB. FriedmanB. Friedmanhttps://doi.org/10.1137/0107021PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Rudolph E. Langer, On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order, Trans. Amer. Math. Soc., 33 (1931), 23–64 MR1501574 0001.06003 CrossrefGoogle Scholar[2] T. M. Cherry, Uniform asymptotic expansions, J. London Math. Soc., 24 (1949), 121–130 MR0030679 0045.34402 CrossrefGoogle Scholar[3] F. W. J. Olver, The asymptotic expansion of Bessel functions of large order, Philos. Trans. Roy. Soc. London. Ser. A., 247 (1954), 328–368 MR0067250 0070.30801 CrossrefGoogle Scholar[4] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England, 1944vi+804 MR0010746 0063.08184 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Uniform Airy-Type Expansions of Integrals1 August 2006 | SIAM Journal on Mathematical Analysis, Vol. 25, No. 2AbstractPDF (1760 KB)Asymptotic Behavior of Integrals18 July 2006 | SIAM Review, Vol. 14, No. 2AbstractPDF (2577 KB) Volume 7, Issue 3| 1959Journal of the Society for Industrial and Applied Mathematics History Submitted:16 December 1958Published online:10 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0107021Article page range:pp. 280-289ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics