Time-consuming series coefficients
- To: mathgroup at smc.vnet.net
- Subject: [mg40230] Time-consuming series coefficients
- From: "marchibald" <marchibald at maths.wits.ac.za>
- Date: Thu, 27 Mar 2003 06:49:13 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
I have the following function from which I would like to extract the
coefficient of z^{50}, and then expand the result as a series in u:
f[z_,u_] := Product[1 + u (Exp(zpq^{i - 1}) - 1), {i,50}]
where p=q=1/2.
The product from i=1 to 10 can be done in a reasonable amount of time, but
anything larger takes far too long.
Does anyone have an idea of how to expand f[z,u] as a series quickly, or even
to extract the coefficient of z^{50} some other way?
Thanks,
M. Archibald
University of the Witwatersrand
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