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Math Help - points where f is not analytic

  1. #1
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    points where f is not analytic

    Determine the points at which the function is not analytic.
    The function is f(z)= 1/(z-2+3i). Do I split it to u and v and see if they satisfy the C-R equations or just set z-2+3i=0 => (x-2) + i(y+3)=0.
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    Quote Originally Posted by frankdent1 View Post
    Determine the points at which the function is not analytic.
    The function is f(z)= 1/(z-2+3i). Do I split it to u and v and see if they satisfy the C-R equations or just set z-2+3i=0 => (x-2) + i(y+3)=0.
    The function is not analytic when the denominator is zero, i.e. z=2-3i while it is analytic anywhere else.
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