Date: Apr 2, 2013 7:31 AM
Author: Nasser Abbasi
Subject: Re: Bug in Jacobian Amplitude?

On 4/2/2013 2:23 AM, Did wrote:
> With MMA 9.0.1.0, trying:
> N[JacobiAmplitude[1 + I*2, 3/4], 20]
> I get:
> 1.3306295147276587227 - 0.8831325397142208140 I
>
> The equivalent with Maple 16:
> evalf( JacobiAM( 1 + I*2 , sqrt(3/4) ), 20);
> gives:
> 1.8109631388621345158 + 0.88313253971422081404*I
>
> Which one, if any, is correct?
>


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


--Nasser