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THE GENERALIZED GOODWIN–STATON INTEGRAL

Published online by Cambridge University Press:  15 September 2005

D. S. Jones
D. S. Jones
Affiliation:
Mathematics Division, University of Dundee, Dundee DD1 4HN, UK
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Abstract

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Some properties of the generalized Goodwin–Staton integral are derived. Explicit error bounds for the asymptotic expansion are determined. In addition, results are obtained for the oscillatory case and when logarithmic factors are present.

Keywords

Primary 30E15Goodwin–Staton integralasymptoticsStieltjes transform
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 3 , October 2005 , pp. 635 - 650
Copyright
Copyright © Edinburgh Mathematical Society 2005