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Homework Help: Analytic function problem

  1. Sep 14, 2008 #1
    1. The problem statement, all variables and given/known data
    Apply rules of Cauchy-riemann theory to verify that each of these functions is entire:


    2. Relevant equations

    u_x=v_y, u_y=-v_x

    3. The attempt at a solution


    I know that a function is analytic at each point, then the function is entire. How would I show that the function is analytic at each pt.?
  2. jcsd
  3. Sep 14, 2008 #2


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    Science Advisor
    Homework Helper

    You've shown it satisfies CR everywhere. The only thing that could prevent it from being entire is if it has a removable singularity someplace. Does it? Does it have ANY singularities?
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