Published 2004
| public
Book Section - Chapter
WKB and Turning Point Theory for Second-order Difference Equations
- Others:
- Janas, Jan
- Kurasov, Pavel
- Naboko, Sergei
Abstract
A turning point method for difference equations is developed. This method is coupled with the LG-WKB method via matching to provide approximate solutions to the initial value problem. The techniques developed are used to provide strong asymptotics for Hermite polynomials.
Additional Information
© 2004 Springer Basel AG. J.S.G. was supported by NSF grants. J.S.G. and W.V.A. were supported by a NATO grant. J.S.G. would like to thank K. McLaughlin, and P. Miller for discussion pertaining to the matching problem S. Garoufalidis for comments regarding the introduction, A. Martinez Finkelstein for pointing out reference [WW], and F. Olver for discussion pertaining to Airy and Hankel functions in the complex plane.Additional details
- Eprint ID
- 90652
- DOI
- 10.1007/978-3-0348-7947-7_7
- Resolver ID
- CaltechAUTHORS:20181105-153010735
- NSF
- North Atlantic Treaty Organization (NATO)
- Created
-
2018-11-06Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Series Name
- Operator Theory: Advances and Applications
- Series Volume or Issue Number
- 154