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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: 77
Registered: 9/14/05
Re: Bug in Jacobian Amplitude?
Posted: Apr 2, 2013 8:21 AM
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On Tuesday, 2 April 2013 13:31:30 UTC+2, Nasser M. Abbasi wrote:
> May be there seem to be different definition for this function?
>
> and Maple uses one and M uses another?
>
>
>
> Maple 17:
>

> > series(JacobiAM( z, m ),z=0,6);
>
>
>
> 2
>
> m 3 4 2 5 6
>
> z - ---- z + (1/120 m + 1/30 m ) z + O(z )
>
> 6
>
>
>
> -----------------------------------------------------------
>
>
>
> In[2]:= Series[JacobiAmplitude[z, m], {z, 0, 6}]
>
>
>
> z - (m z^3)/6 + 1/120 (4 m + m^2) z^5
>
>


These definitions are identical,
except the m<->sqrt(m) correspondance.
My guess is that MMA is wrong.



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