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Math Help - describe f=u+vi in terms of z

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    describe f=u+vi in terms of z

    Hi, can anyone please help me with this question? Thanks a lot.

    I wish to describe function f=u+iv in terms of complex number z, but this expression seems really hard to convert.

    f=log(x^2+y^2)+(2 \arctan (\frac{y}{x})-2 \arctan (\frac{x}{y})+c)i, c is a constant.

    I know for the first part with log, it can be written to log(z^2) straight away, but how to deal with the second part, it is really hard.
    Last edited by tsang; April 2nd 2011 at 05:07 AM.
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