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Re: nth roots of complex numbers

  • To: mathgroup at smc.vnet.net
  • Subject: [mg39078] Re: nth roots of complex numbers
  • From: Friedrich Laher <mathefritz at schmieder-laher.de>
  • Date: Sun, 26 Jan 2003 18:44:29 -0500 (EST)
  • References: <b10ddh$mou$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Zachary Turner schrieb:
> Apparently Mathematica randomly returns roots a root of a complex number.
> Is there a way I can write my own function that will return a set consisting
> of all n roots of a given complex number.  For example, Root[z,n] = {a set
> consisting of n elements}
> 
> 
> 

LstOfRoots[z_, n_] :=
   Module[{a = Abs[z]^(1/n), f}, f[i_] := a Root[#^n - 1, i]; Map[f, 
Range[n]]]
Example
LstOfRoots[5,3] in attachment math.gif

[contact the author to get this attachment - moderator]


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