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Complex exponential

  1. Mar 20, 2009 #1
    what is e[tex]^{jw\infty}[/tex] ?
  2. jcsd
  3. Mar 20, 2009 #2


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    You cannot define it in the complex plane, since oo is not a complex number. You may

    want to work on the Riemann sphere, or something, if you want to work with the log,

    tho I don't see how to do so at this point. e^z must be defined in terms of a branch

    of logz , to be well-defined, in the sense of being single-valued, among other things.

    Since logz is not even defined in the whole complex plane, you cannot define a logz

    to be analytic in the extended complex plane
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