Complex Analysis using Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg52621] Complex Analysis using Mathematica
- From: "Pratik Desai" <pdesai1 at umbc.edu>
- Date: Sat, 4 Dec 2004 04:08:00 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Here we go again, I have to define a complex function So I go through this procedure to define that the variables are really "real" TagSet[p, Im[p], 0]; TagSet[a, Im[a], 0]; TagSet[b, Im[b], 0]; TagSet[p, Re[p], p]; TagSet[a, Re[a], a]; TagSet[b, Re[b], b]; lamda = a + I*b z = ComplexExpand[lamda*p] x=Re[z] y=Im[z] TagSet[u, Im[u[x, y]], 0]; TagSet[v, Im[v[x, y]], 0]; TagSet[x, Re[x], x]; TagSet[y, Re[y], y]; TagSet[u, Re[u[x, y]], u[x, y]]; TagSet[v, Re[v[x, y]], v[x, y]]; Then I define my actual function u1 = TrigToExp[Sinh[z]] (*By this time I have realized that Mathematica or for that matter most of the CAS work better with exponentials when it comes to complex analysis*) u[x, y] = Re[u1] v[x, y] = Im[u1] The problem I face is that the software is not able to identify x and y as I have defined above. May be I am making a trivial mistake. Please advise Thanks in advance Pratik Desai
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