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An Integral Involving the Product of a Bessel Function and an E-Function

Published online by Cambridge University Press:  18 May 2009

Fouad M. Ragab
Fouad M. Ragab
Affiliation:
University of Glasgow
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Extract

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The formula

where αp+1 = 1/2(m + n), αp+2 = 1/2(m-n), R(m±n)>0 and x is real and positive, was given by MacRobert (Phil. Mag., Ser. 7, XXXI, p. 258). From it the formula (6) below will be deduced.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 1 , Issue 1 , January 1952 , pp. 8 - 9
Copyright
Copyright © Glasgow Mathematical Journal Trust 1952

References

* For the properties of the E-functions see MacRobert, Functions of a Complex Variable, third edition.