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On the asymptotic expansion of certain functions defined by infinite series

Part of: Approximations and expansions

Published online by Cambridge University Press:  26 February 2010

R. Shail
R. Shail
Affiliation:
Department of Mathematical and Computing Sciences, University of Surrey, Guildford, Surrey. GU2 5XH
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Abstract

In this paper the method of inner and outer sums [5], together with the computational power of computer symbolic manipulation, are used to extend to high order the asymptotic expansions in an appropriate limit of some infinite series arising in low Reynolds-number fluid mechanics. The enhanced applicability of the expansions is demonstrated, and the method is extended to treat alternating series.

MSC classification

Secondary: 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
Type
Research Article
Information
Mathematika , Volume 44 , Issue 2 , December 1997 , pp. 401 - 418
Copyright
Copyright © University College London 1997

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