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Evaluation of an integral containing Bessel functions
Published online by Cambridge University Press: 24 October 2008
Abstract
The integral, involving the functions Jn+½ and J−n−½(x) where n is a positive integer, arises in a problem in electrical network theory and represents a measure of the overall error in the diagonal Padé approximant to the function e−s. A method of evaluation based on Euler's transformation of series is described, values of the integral are tabulated to five decimal places for n = 1(1)10(5)40, and the asymptotic behaviour for large n is determined.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 453 - 457
- Copyright
- Copyright © Cambridge Philosophical Society 1966
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