> Would you be able to add this to the wiki?

Here it is:

https://github.com/scipy/scipy/wiki/GSoC-2016-project-ideas#improve-the-parabolic-cylinder-functions

On Thu, Jan 19, 2017 at 10:18 AM, Ted Pudlik <tpudlik@gmail.com> wrote:

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.

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?

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