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2017-06-11 22:53:40 +0200 commented answer integral containing products of bessel functions

Selecting sympy gives me an answer unlike the default of maxima. Thank you!

2017-06-11 22:48:26 +0200 received badge  Scholar (source)
2017-06-08 13:52:58 +0200 asked a question integral containing products of bessel functions

I am trying to find a closed form expression of an integral containing a product of bessel functions. Sage returns my command instead of a solution. Any help is appreciated. My code is below. I am solving this on a free CoCalc server.

phi, l, R, r_bar= var('phi l R r_bar')
phi = bessel_J(0, l*R) - (bessel_J(0,l*r_bar)*bessel_Y(0,l*R))/(bessel_Y(0,l*r_bar))
f = R*phi*phi
integrate(f, R)