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Re: Simplifying Jacobian elliptic functions

• To: mathgroup at smc.vnet.net
• Subject: [mg56322] Re: Simplifying Jacobian elliptic functions
• From: John Billingham <John.Billingham at Nottingham.ac.uk>
• Date: Fri, 22 Apr 2005 06:22:48 -0400 (EDT)
• References: <d2j8j8$k2$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

> Unprotect[Plus]
> JacobiDN[p_, k_]^2 + k_ JacobiSN[p_, k_]^2 := 1
> Protect[Plus]
> 

Thanks for the tip. Why does your suggestion work, but

Unprotect[Minus];
1 -  JacobiSN[p_, m_]^2 := JacobiCN[p, m]^2;
Protect[Minus];

doesn't??

John