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Analytic functions

  1. Aug 5, 2011 #1
    (3+x-iy)^7 is analytic function of the complex variable z=x+iy in the domain [z]<2?
  2. jcsd
  3. Aug 5, 2011 #2
    Nope, [tex] f(z) = (3+x-iy)^7 = (3+\bar{z})^7 [/tex]

    [tex] \frac{df}{d\bar{z}} = 7(3+\bar{z})^6 \neq 0, \,\mathrm{for}\; |z| < 2. [/tex]
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