Exponentially-Improved Asymptotic Solutions of Ordinary Differential Equations I: The Confluent Hypergeometric Function
- 1 May 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 24 (3) , 756-767
- https://doi.org/10.1137/0524046
Abstract
No abstract availableKeywords
This publication has 10 references indexed in Scilit:
- Exponentially improved asymptotic solutions of ordinary differential equations. II. Irregular singularities of rank oneProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1994
- Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equationsMethods and Applications of Analysis, 1994
- Smoothing of the Stokes phenomenon using Mellin-Barnes integralsJournal of Computational and Applied Mathematics, 1992
- Smoothing of Stokes discontinuitiesProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992
- Smoothing of the Stokes phenomenon for high-order differential equationsProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992
- Uniform, Exponentially Improved, Asymptotic Expansions for the Confluent Hypergeometric Function and Other Integral TransformsSIAM Journal on Mathematical Analysis, 1991
- Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential IntegralSIAM Journal on Mathematical Analysis, 1991
- Waves near Stokes linesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1990
- Uniform asymptotic smoothing of Stokes’s discontinuitiesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1989
- Changing the order of integrationJournal of the Australian Mathematical Society, 1970