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Topic: Bug in Jacobian Amplitude?
Replies: 16   Last Post: Apr 13, 2013 1:35 PM

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 did Posts: 80 Registered: 9/14/05
Re: Bug in Jacobian Amplitude?
Posted: Apr 5, 2013 8:19 AM
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On Friday, 5 April 2013 03:00:38 UTC+2, Waldek Hebisch wrote:
> This definition is suboptimal, because it forces discontinuity
>
> on real line. The definition I recall were continuous
>
> (increasing) on real line.

OK, but maple defines a discontinuous
function over the real line. Try
plot(JacobiAM(x,sqrt(3/4)),x=-10..20);
plot(arctan(JacobiSN(x,sqrt(3/4)),JacobiCN(x,sqrt(3/4)))-JacobiAM(x,sqrt(3/4)),x=-10..20);

MMA, on the other hand, gives a
continuous increasing function.

Does it mean that maple implement
the Jacobi Amplitude via the suboptimal
formula?

Did

Date Subject Author
4/2/13 did
4/2/13 Nasser Abbasi
4/2/13 did
4/2/13 clicliclic@freenet.de
4/3/13 did
4/4/13 clicliclic@freenet.de
4/4/13 Waldek Hebisch
4/5/13 clicliclic@freenet.de
4/5/13 did
4/6/13 clicliclic@freenet.de
4/7/13 Waldek Hebisch
4/8/13 clicliclic@freenet.de
4/8/13 Waldek Hebisch
4/9/13 clicliclic@freenet.de
4/13/13 clicliclic@freenet.de
4/8/13 Axel Vogt
4/3/13 Joe keane

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