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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



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