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Calculating the near field of a line of sources using Mellin transforms

Published online by Cambridge University Press:  17 February 2009

P. A. Martin
P. A. Martin
Affiliation:
Department of Mathematical and Computer SciencesColorado School of Mines Golden Colorado 80401-1887 USApmartin@mines.edu.
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In slender-body theories, one cften has to find asymptotic approximations for certain integrals, representing distribution:; of sources along a line segment. Here, such approximations are obtained by a systematic method that uses Mellin transforms. Results are given near the line (using cylindrical polar coordinates) and near the ends of the line segment (using spherical polar coordinates).

Keywords

Mellii transformsasymptotic approximations; slender-body theory
Type
Articles
Information
The ANZIAM Journal , Volume 49 , Issue 1 , July 2007 , pp. 99 - 109
Copyright
Copyright © Australian Mathematical Society 2007

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