Hostname: page-component-6bf8c574d5-685pp Total loading time: 0 Render date: 2025-03-07T16:13:53.149Z Has data issue: false hasContentIssue false
  • English
  • Français

Formulation and summation of hyperasymptotic expansions obtained from integrals

Published online by Cambridge University Press:  01 April 1998

J. G. B. Byatt-Smith
J. G. B. Byatt-Smith*
Affiliation:
Department of Mathematics, King's Buildings, University of Edinburgh, Edinburgh EH9 3JZ, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

Formal hyperasymptotic expansions of integrals are obtained from the Poincaré asymptotic expansion by re-expanding the remainder term. We show that for the integrals under consideration these hyperasymptotic expansions can be made accurate to any desired exponentially-small order.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 9 , Issue 2 , April 1998 , pp. 159 - 185
Copyright
Copyright © Cambridge University Press 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)