[math-fun] Bessel at High Precision?

Hey all. Does anyone have any ideas on computing Bessel functions to high precision (over the complex plane)? Googling gives [1] and [2]. Sorry, [1] is behind a paywall. I am wondering if one of you has a secret magical sum or product that just magically works well for high precision computation. If not, maybe we can develop some strategies! Thanks, Robert Smith [1] dl.acm.org/citation.cfm?id=1466254 [2] web.cs.dal.ca/~jborwein/bessel.pdf