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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
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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

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