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Help reduce this expression (Not Long)
*To*: mathgroup at christensen.cybernetics.net
*Subject*: [mg1977] Help reduce this expression (Not Long)
*From*: Vlad.Fridkin at manuel.anu.edu.au
*Date*: Mon, 4 Sep 1995 22:21:16 -0400
*Organization*: Australian National University
Here it is. I didn't want to send the expression
in its glory since it is too long. So I send this
expression and a few rules to get to the big one:
Dn[a_,k_] := Sqrt[1 - k^2 Sn[a,k]^2];
Cn[a_,k_] := Sqrt[1 - Sn[a,k]^2];
ellirule := {Sn[u_+v_,k_] -> (Sn[u,k]Cn[v,k]Dn[v,k] + Cn[u,k]Sn[v,k]Dn[u,k])/
(1-k^2 Sn[u,k]^2 Sn[v,k]^2)}
sngone := Sn[x_,k_]-> x;
In[1]:= Sn[v, k]*Sn[2*y, k]^2 + Sn[u - v, k]*Sn[2*y, k]*Sn[u + 2*y, k] -
Sn[u, k]*Sn[2*y, k]*Sn[u - v + 2*y, k] -
k^2*Sn[u, k]*Sn[u - v, k]*Sn[v, k]*Sn[2*y, k]^2*Sn[u + 2*y, k]*
Sn[u - v + 2*y, k]
In[2]:= % /. ellirule;
In[3]:= % /. ellirule;
In[4]:= % /. sngone
Out[4]= Lots of stuff I cannot simplify to become zero.
Has anyone out there got experience working with elliptic functions
in an algebraic way?
Thanks for any help.
Vlad.
--
___________________________
Vlad.Fridkin at anu.edu.au || ||| || ||| || ||| || |||
http://wwwmaths.anu.edu.au/~vxf661/Vlad_Fridkin.html
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