CaltechAUTHORS
Published 2004 | Version public
Book Section - Chapter Metadata-only

WKB and Turning Point Theory for Second-order Difference Equations

Creators

  • 1. ROR icon Georgia Institute of Technology
  • 2. ROR icon California Institute of Technology

Contributors

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

Identifiers

Eprint ID
90652
DOI
10.1007/978-3-0348-7947-7_7
Resolver ID
CaltechAUTHORS:20181105-153010735

Related works

Describes
10.1007/978-3-0348-7947-7_7 (DOI)

Funding

NSF
North Atlantic Treaty Organization (NATO)

Dates

Created
2018-11-06
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field

Caltech Custom Metadata

Series Name
Operator Theory: Advances and Applications
Series Volume or Issue Number
154