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Jan 30, 2016 at 15:21 history edited Lucian CC BY-SA 3.0
Fixed Row Alignment.
May 21, 2014 at 3:41 comment added Lucian @TomDickens: The Wikipedia articles on the Bessel function of the first kind and confluent hypergeometric series are quite comprehensive, as are those of NIST DLMF and Wolfram Math World.
May 21, 2014 at 2:17 comment added Tom Dickens Note that the integral $J_k(a)$ in the above answer is a confluent hypergeometric function. Mathematica can do it or you can find it in a handbook I imagine. Sorry I don't have it in front of me right now. That will at least give you a compact form.
May 20, 2014 at 20:57 history edited Lucian CC BY-SA 3.0
deleted 123 characters in body
May 20, 2014 at 18:41 history answered Lucian CC BY-SA 3.0