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A simple method of summing Bessel series
Published online by Cambridge University Press: 24 October 2008
Abstract
A simple formula is derived for transforming the slowly convergent series involving Bessel functions which arise in axially symmetric potential problems into more rapidly convergent series. Using it, sums of series previously found by elaborate special methods may be obtained by direct substitution. The necessary numerical coefficients are given.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 705 - 710
- Copyright
- Copyright © Cambridge Philosophical Society 1968
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