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Symbolic integration of a Bessel function with a complex argument
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[QUOTE="ocmaxwell, post: 6854148, member: 733116"] Hello all I am trying to solve the following integral with Mathematica and I'm having some issues with it. [ATTACH type="full"]322152[/ATTACH] where Jo is a Bessel Function of first kind and order 0. Notice that k is a complex number given by [ATTACH type="full" width="108px"]322153[/ATTACH] Where delta is a coefficient. Due to the complex arguments I'm integrating the absolute value of the Bessel function. [B]I would like to solve the integral symbolically to get the result as a function or r,[/B] and not a number, so I can plot f(r) later on. See below what I did [ATTACH type="full"]322154[/ATTACH] notice that r1 is r' in the integral above and the result [ATTACH type="full" width="317px"]322155[/ATTACH] I am totally sure there should be a way in which it can be done. Any help would be greatly appreciated Thank you in advance [/QUOTE]
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Symbolic integration of a Bessel function with a complex argument
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