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On the Asymptotic Expansion of a Class of Functions Defined by Infinite Integrals

Part of: Approximations and expansions

Published online by Cambridge University Press:  21 December 2009

R. Shail
R. Shail
Affiliation:
Department of Mathematics, University of Surrey, Guildford, Surrey, GU2 7XH. E-mail: ronald.shail@ntlworld.com
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Abstract

In this paper a method is developed for the asymptotic expansion of some classes of integral as a parameter k → 0+. The procedure is analogous to the method of inner and outer sums for treating certain types of infinite series whose terms contain a small parameter, and can involve heavy algebra. However, this aspect of the process can be delegated to a symbolic manipulation package.

MSC classification

Secondary: 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
Type
Research Article
Information
Mathematika , Volume 54 , Issue 1-2 , December 2007 , pp. 183 - 195
Copyright
Copyright © University College London 2007

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