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Math Help - help for two questions.

  1. #1
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    help for two questions.

    1) If a function is analytic, might its imaginary and real parts be called absolutely harmonic?
    2) If real and imaginary parts of a function is not harmonic, then it can't be analytic?


    Are these statements true or false? thanks
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  2. #2
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    Re: help for two questions.

    Quote Originally Posted by mami View Post
    1) If a function is analytic, might its imaginary and real parts be called absolutely harmonic?
    2) If real and imaginary parts of a function is not harmonic, then it can't be analytic?


    Are these statements true or false? thanks
    I've never heard the term absolutely harmonic. If f(x+iy) = u(x,y)+i v(x,y) is analytic, then u and v must each be harmonic and also be harmonic conjugates.

    2) is true and can quickly be seen via the C-R equations.
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