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MathGroup Archive 2007

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How to get the real and imaginary parts of a power series?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79998] How to get the real and imaginary parts of a power series?
  • From: Gordon Smith <gsmithsf at hotmail.com>
  • Date: Fri, 10 Aug 2007 01:52:48 -0400 (EDT)

Suppose s = Series[Cosh[(x + I y)u, {u,0,2}]. How can I get the real part 1 + 1/2(x^2 - y^2) u^2 + O(u^3) and the imaginary part x y u^2 + O(u^3) ? I thought ComplexExpand[Re[s]] should give me the real part of s, but it just gives me s unchanged. (Mathematica newbie here!)


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