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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.

Information

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.