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Evaluation of an integral containing Bessel functions

Published online by Cambridge University Press:  24 October 2008

G. F. Miller
G. F. Miller
Affiliation:
National Physical Laboratory
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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.

Type
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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References

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