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MathGroup Archive 2005

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Simplifying Jacobian elliptic functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55612] Simplifying Jacobian elliptic functions
  • From: John Billingham <John.Billingham at Nottingham.ac.uk>
  • Date: Thu, 31 Mar 2005 01:24:08 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

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


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