| Dirk Laurie on Thu, 14 Jun 2018 12:11:48 +0200 |
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| Re: Elliptic Integrals? |
2018-06-14 11:28 GMT+02:00 Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>: > On Tue, Jun 12, 2018 at 09:02:47PM +0200, Bill Allombert wrote: >> On Tue, Jun 12, 2018 at 09:00:52PM +0200, Eduardo Morras wrote: >> > >> > Hello, I'm trying to implement an algorithm that uses Elliptic Integrals. >> >> Hello Eduardo, >> >> Which kind of elliptic integrals do you need ? >> You might be able to use ellperiods. >> >> I have this GP script which computes E and K. >> (numE/numK are the slow version, agmE/agmK are the fast ones). >> (Unfortunately I forgot where I found the formulae, which avoid >> the derivation). > > I found the reference for the formulae: > > An Eloquent Formula for the Perimeter of an Ellipse > Semjon Adlaj > Notices of the AMS 2012 > <http://www.ams.org/notices/201208/rtx120801094p.pdf> Also useful is the NIST Digital Library of Mathematical Functions https://dlmf.nist.gov/19 -- Dirk