Exponential Asymptotics
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | Special Functions 2000: Current Perspective and Future Directions |
| Subtitle of host publication | Series II: Mathematics, Physics and Chemistry |
| Editors | Joaquin Bustoz, Mourad E. H. Ismail , Sergei K. Suslov |
| Publisher | Springer Netherland |
| Pages | 505-518 |
| ISBN (electronic) | 978-94-010-0818-1 |
| ISBN (print) | 978-0-7923-7120-5 |
| Publication status | Published - 2001 |
Publication series
| Name | NATO Science Series |
|---|---|
| Volume | 30 |
Link(s)
| DOI | DOI |
|---|---|
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(84159f63-e13c-4319-b042-67dead164358).html |
Abstract
Significant developments have occurred recently in the general theory of asymptotic expansions. These developments include smoothing of the Stokes phenomenon (M. V. Berry), uniform exponentially-improved asymptotic expansions (F. W. J. Olver), superasymptotics and hyperasymp- totics (M. V. Berry and C. J. Howls). In this lecture, I will use the Airy function to give a flavor of each of these new concepts in what is now known as “exponential asymptotics” or “asymptotics beyond all orders” (M. D. Kruskal and H. Segur). My approach is based on a modified version of the steepest-descent method introduced by Berry and Howls in 1991.
Citation Format(s)
Exponential Asymptotics. / WONG, Sue Cheun Roderick.
Special Functions 2000: Current Perspective and Future Directions: Series II: Mathematics, Physics and Chemistry. ed. / Joaquin Bustoz; Mourad E. H. Ismail ; Sergei K. Suslov . Springer Netherland, 2001. p. 505-518 (NATO Science Series ; Vol. 30).
Special Functions 2000: Current Perspective and Future Directions: Series II: Mathematics, Physics and Chemistry. ed. / Joaquin Bustoz; Mourad E. H. Ismail ; Sergei K. Suslov . Springer Netherland, 2001. p. 505-518 (NATO Science Series ; Vol. 30).
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
