Finding multiple value in Complex Analysis
- To: mathgroup at smc.vnet.net
- Subject: [mg105140] Finding multiple value in Complex Analysis
- From: Steven Siew <stevensiew2 at gmail.com>
- Date: Sun, 22 Nov 2009 06:09:26 -0500 (EST)
Given a complex number ( -1+2I ) and an expression z^(1/2)
How do I find all the possible values like z == -Sqrt[-1 + 2 I] || z
== Sqrt[-1 + 2 I]
I can find it using Reduce[z^2== (-1+2I),{z}]
But this leaves me with a problem of how to convert
Z^(1/2) into Z^2
So given an arbitrary expression of Z, how do I convert it to a form
which I can use the function Reduce to find the multiple solutions.
Steven Siew