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MathGroup Archive 2001

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Re: Jacobian Elliptical Functions (Integrals)

  • To: mathgroup at
  • Subject: [mg30294] Re: Jacobian Elliptical Functions (Integrals)
  • From: "W. H. Harker" <wharke at>
  • Date: Sun, 5 Aug 2001 16:18:38 -0400 (EDT)
  • References: <9kb0dt$c54$>
  • Sender: owner-wri-mathgroup at

In article <9kb0dt$c54$1 at>, adam_jurhs at says...
> I am looking for help in finding material about solving the "Jacobian
> Elliptical Functions" (Integrals).  How is this done in Mathematica? 
> Is there more than one method for solving them?  What's the difference
> between the Jacobian Elliptical Integrals and just the standard 
> Elliptical Integrals?  What does the notation "dn", "sn" and "cn" mean
> as it refers to these integral functions?  Thanks for your help.
An excellent reference is

	Handbook of Elliptic Integrals for Engineers and Physicists
	Paul F. Byrd and Morris D. Friedman
	Springer-Verlag 1954

Also a more abbreviated reference

	Jacobian Elliptic Functions
	L. M. Milne-Thompson
	Dover Publications 1950

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