On a bessel function integral |
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| Authors: | R C McPhedran D H Dawes T C Scott |
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| Affiliation: | (1) School of Physics, University of Sydney, 2006, Australia;(2) Institute for Theoretical Atomic and Molecular Physics, Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, 02138 Cambridge, MA, USA |
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| Abstract: | We consider the integral
where , K, k andb are all positive real numbers. We reduce this integral to a linear combination of two integrals. The first of these is an exponential integral, which can be expressed as a difference of two Shkarofsky functions, or can easily be evaluated numerically. The second is the original integral, but withk andK both replaced by  kK. We express this as a MeijerG function, and then reduce it to the sum of an associated Bessel function and a modified Bessel function.Previously at the Maple Symbolic Computation Group, University of Waterloo, Waterloo, Ontario, Canada, N2L-3G1 |
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| Keywords: | Integration Symbolic Computation MAPLE Special Functions |
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