The discussion revolves around the correctness of an integral involving the Bessel function, specifically focusing on its expansion into a power series and the implications of integrating term by term.
The conversation is active, with participants providing feedback on the original poster's approach and suggesting modifications. There is an acknowledgment of a potential error in the factor associated with the integral, and a change of variables is mentioned as a means to clarify the issue.
Participants are considering the implications of specific forms of the Bessel function and how these affect the integral's outcome. There is an indication that the original problem may have constraints or assumptions that are still under examination.
Almost! According to Mathematica your result is missing a factor of 4:Rfael said:
Yes, that removes the factor of 4 from the answer, as is evident by making a change-of-variables in the first integral above:Rfael said: