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Can someone give a simple example of a complex function that is harmonic but not analytic?

Thanks.

D.

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  • $\begingroup$ Natural examples are $\mbox{Re}\;z, \mbox{Im}\; z, \bar{z}$... $\endgroup$
    – Julien
    Mar 2, 2013 at 20:35

1 Answer 1

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$x{}{}{}{}{}{}{}{}{}{}{}{}{}{}$

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    $\begingroup$ You probably mean $z\mapsto\mathrm{Re}(z)$. $\endgroup$ Mar 2, 2013 at 20:20
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    $\begingroup$ Sorry, couldn't resist the temptation of a one- typographical-character answer :-) [But made it community wiki]. $\endgroup$ Mar 2, 2013 at 20:20
  • $\begingroup$ @girianshiido: yes. $\endgroup$ Mar 2, 2013 at 20:24
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    $\begingroup$ Must be a French thing... :-) $\endgroup$
    – Martin
    Mar 2, 2013 at 20:57
  • $\begingroup$ @Martin: oui! (and thanks for the link to my predecessors-rivals: grrr...!) $\endgroup$ Mar 2, 2013 at 21:43

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