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An Infinite Integral involving a Product of Two Modified Bessel Functions of the Second Kind

Published online by Cambridge University Press:  18 May 2009

T. M. Macrobert
Affiliation:
University of Glasgow
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The formula to be established is

where l, m, n. are any numbers real or complex and R(b)>0. A similar result, involving Bessel Functions of the First Kind, was obtained by Hanumanta Rao [Mess, of Maths., XLVII. (1918), pp. 134–137].

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1953