Bessel integral

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Pierre Pudlo and I worked this morning on a distribution related to philogenic trees and got stuck on the following Bessel integral

where In is the modified Bessel function of the first kind. We could not find better than formula 6.611(4) in Gradshteyn and Ryzhik. which is for a=0… Anyone in for a closed form formula, even involving special functions?

Filed under: R, Statistics, University life Tagged: ABC, Bessel functions, philogenic trees

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