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

• Autores: P. A. Martin
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 49, Nº 1, 2007, págs. 99-109
• Idioma: inglés
• DOI: 10.1017/s1446181100012700
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• Resumen

  • In slender-body theories, one often has to find asymptotic approximations for certain integrals, representing distributions 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).