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