Re: Computing Complex Series Solution using Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg54684] Re: Computing Complex Series Solution using Mathematica*From*: Paul Abbott <paul at physics.uwa.edu.au>*Date*: Sun, 27 Feb 2005 01:29:08 -0500 (EST)*Organization*: The University of Western Australia*References*: <cvhiv9$s5r$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

In article <cvhiv9$s5r$1 at smc.vnet.net>, Pratik Desai <pdesai1 at umbc.edu> wrote: > 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] Use Map and Total: 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]; Total[Sinh[# x] & /@ lamda] You have 5 values in lamda. Do you really want to omit the last value as you have done in computing s4? If so then use Total[Sinh[# x] & /@ Most[lamda]] I also note that the imaginary part of lamda is quite close to n Pi and that Sinh[x + I n Pi] simplfies. Cheers, Paul -- Paul Abbott Phone: +61 8 6488 2734 School of Physics, M013 Fax: +61 8 6488 1014 The University of Western Australia (CRICOS Provider No 00126G) 35 Stirling Highway Crawley WA 6009 mailto:paul at physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul