I agree that it would be very challenging. It would also be more of a research project in applied maths than a straightforward implementation exercise. For the confluent hypergeometric function specifically (on which I've worked unsuccessfully), the main difficulty is that no known algorithm (https://arxiv.org/abs/1407.7786) is reliable throughout parameter space, and in fact finding any combination of algorithms that works well is rather hard. I have more specific results tucked away somewhere, including interesting plots (one attached as an example---number of correct digits computed by the optimally-truncated asymptotic series as a function of the parameters). I'll try to clean them up and post somewhere for posterity's sake, assuming I won't be able to finish this work myself.[image: 3.png] On Wed, Jan 18, 2017 at 11:32 AM Evgeni Burovski <evgeny.burovskiy@gmail.com> wrote:
3. hypergeometric functions would be great, but this might be too difficult. Josh, Nikolay, Ted --- you guys looked at this at some point; any comments?
