Re: Simplifying Jacobian elliptic functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg55637] Re: Simplifying Jacobian elliptic functions*From*: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>*Date*: Fri, 1 Apr 2005 05:36:09 -0500 (EST)*Organization*: Uni Leipzig*References*: <d2g5qo$f3h$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Hi, Unprotect[Plus] JacobiDN[p_, k_]^2 + k_ JacobiSN[p_, k_]^2 := 1 Protect[Plus] Regards Jens "John Billingham" <John.Billingham at Nottingham.ac.uk> schrieb im Newsbeitrag news:d2g5qo$f3h$1 at smc.vnet.net... >I am doing a problem involving Jacobian elliptic >functions, and am trying to use Mathematica to >help. However, I find that I am unable to >persuade Mathematica to simplify the expression > > JacobiDN[p, k^2]^2 + k^2 JacobiSN[p, k^2]^2 > > which is equal to 1. It is also unable to > integrate powers of Jacobian elliptic functions > higher than 2, which are given by Byrd and > Friedman in terms of elliptic functions and > integrals. > > Can anyone help with this? > > Thanks, > > John >