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Re: Separation of variables scheme

• To: mathgroup at smc.vnet.net
• Subject: [mg64009] Re: [mg63988] Separation of variables scheme
• From: Sseziwa Mukasa <mukasa at jeol.com>
• Date: Fri, 27 Jan 2006 05:13:21 -0500 (EST)
• References: <200601260843.DAA22232@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

On Jan 26, 2006, at 3:43 AM, cosmicstring wrote:

> I have two related questions
>
> 1) I have functions like Cosh[x+Iy] (I being Sqrt[-1]) and I want to
> decompose it to two functions, one depending only on x and the other
> depending only on y.

The x dependent part can be achieved by ComplexExpand[Cosh[x+I y]]/._ 
[y]->1 and the y similarly by ComplexExpand[Cosh[x+I y]]/._[x]->1

> 2) I have this kind of function:
>
> A[x] B[y] R[x] S[y]
>
> and I want to decompose it to functions depending only one variable
> such as
>
> f1[x]=A[x] R[x]
> g1[y]=B[y] S[y]

Using a similar scheme:

f1[x_]:=A[x] B[y] R[x] S[y]/._[y]->1

g1[y_]:=A[x] B[y] R[x] S[y]/._[x]->1

Hope this helps.

Regards,

Ssezi

• References:
  • Separation of variables scheme
    • From: "cosmicstring" <cosmicstring@gmail.com>