Computing Complex Series Solution using Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg54589] Computing Complex Series Solution using Mathematica
- From: Pratik Desai <pdesai1 at umbc.edu>
- Date: Wed, 23 Feb 2005 03:12:39 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hello All,
I am trying to check the convergence or lack there of a complex series
Sinh[lamda*x]
where the first six lamda are given as
lamda={-0.331+3.162*I,-0.435+6.234*I,-0.093+9.418*I,-0.203+12.566*I,-0.365+15.669*I};
x=Range[0,1,0.1];
I want to do more efficiently the following:
s4=Sinh[lamda[[1]]*x]+Sinh[lamda[[2]]*x]+Sinh[lamda[[3]]*x]+Sinh[lamda[[4]]*x]
I tried using Sum but to no great success, however I found a neat
mathematica notebook on the function Sinh and I found the following
expansion of sinh
I was wondering how I could implement the above series in my application
or anyother approach that would be more feasible .
Thanks
Pratik Desai