Why Steepest Descents?

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Previous article Next article Why Steepest Descents?F. W. J. OlverF. W. J. Olverhttps://doi.org/10.1137/1012044PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England, 1944vi+804, 2nd ed. MR0010746 0063.08184 Google Scholar[2] B. Riemann, Sullo svolgimento del quotients di due serie ipergeometriche in frazione continua infinita, Collected Works, , 2nd ed., Dover, New York, 1953, pp. 424–430 Google Scholar[3] P. Debye, Näherungsformeln für die Zylinderfunktionen für große Werte des Arguments und unbeschränkt veränderliche Werte des Index, Math. Ann., 67 (1909), 535–558 10.1007/BF01450097 MR1511547 CrossrefGoogle Scholar[4] N. G. de Bruijn, Asymptotic methods in analysis, Second edition. Bibliotheca Mathematica, Vol. IV, North-Holland Publishing Co., Amsterdam, 1961xii+200 MR0177247 0109.03502 Google Scholar[5] E. T. 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Nielsen, Handbuch der Theorie der Gammafunktion, Teubner, Leipzig, 1906 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails An Extension of Laplace's Method17 August 2018 | Constructive Approximation, Vol. 51, No. 2 Cross Ref Mean-field tricritical polymers16 November 2020 | Probability and Mathematical Physics, Vol. 1, No. 1 Cross Ref Asymptotic Methods of Analysis Using Advanced Saddle Point Techniques18 July 2019 Cross Ref Evolution of the Precursor Fields18 July 2019 Cross Ref Evolution of the Signal18 July 2019 Cross Ref Introduction18 July 2019 Cross Ref Revisiting the saddle-point method of Perron2 February 2019 | Pacific Journal of Mathematics, Vol. 298, No. 1 Cross Ref Optimal Penetration in Debye-Model Dielectrics Using the Brillouin Precursor PulseIEEE Transactions on Antennas and Propagation, Vol. 65, No. 4 Cross Ref Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal3 June 2015 | Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 145, No. 3 Cross Ref Precursors and Dispersive Pulse Dynamics Cross Ref In memoriam Frank W. 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