Timeline for Finding the roots of Hypergeometric1F1[]
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:55 | history | edited | CommunityBot | replaced http://mathematica.stackexchange.com/ with https://mathematica.stackexchange.com/ | |
| Aug 5, 2012 at 15:00 | history | edited | J. M.'s missing motivation | CC BY-SA 3.0 | deleted 84 characters in body |
| Aug 4, 2012 at 11:22 | comment | added | acl | @J.M. I see, I thought I had seen it somewhere earlier but I don't remember where. Maybe I am confusing it with something else. | |
| Aug 4, 2012 at 11:14 | comment | added | J. M.'s missing motivation | Actually, Stan Wagon's approach in his book is somewhat simpler: he just samples the function at equispaced points. The modification to use the output of Plot[] was my wrinkle in that answer. | |
| Aug 4, 2012 at 11:13 | comment | added | acl | @J.M. yes, that is pretty much the bulk of my working day, some days. | |
| Aug 4, 2012 at 11:12 | comment | added | J. M.'s missing motivation | Heh. Still, sometimes analytical manipulations can yield a form that is eminently more suitable for numerics, so it still pays to try out an identity or two... | |
| Aug 4, 2012 at 11:08 | comment | added | acl | @J.M. as an aside, seeing that transformation reminds me of a few days of pain resulting from having to manipulate a complicated combination of 2F1 functions a few years ago. In the event, it took more computer time to explicitly evaluate the analytical solutions (which I obtained in the form of series) than to do numerical simulations of the system. That taught me a lesson! | |
| Aug 4, 2012 at 11:05 | comment | added | acl | @J.M. oops, I did not remember that! (I did remember seeing this somewhere but not where). I've added a link! About the transformation, I agree, but I try to avoid specializing things unless absolutely necessary and, in this case, it's not; so I left it general. Plus, it's well described in your post. | |
| Aug 4, 2012 at 11:04 | history | edited | acl | CC BY-SA 3.0 | added 198 characters in body |
| Aug 4, 2012 at 10:17 | comment | added | J. M.'s missing motivation | It's a bit like what I did here, yes? :) Still, your solution can benefit greatly from using the Kummer-transformed version of the function. | |
| Aug 4, 2012 at 9:33 | history | answered | acl | CC BY-SA 3.0 |