# A complex function that is harmonic but not analytic

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

Thanks.

D.

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Natural examples are $\mbox{Re}\;z, \mbox{Im}\; z, \bar{z}$... –  1015 Mar 2 '13 at 20:35

## 1 Answer

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

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You probably mean $z\mapsto\mathrm{Re}(z)$. –  Philippe Malot Mar 2 '13 at 20:20
Sorry, couldn't resist the temptation of a one- typographical-character answer :-) [But made it community wiki]. –  Georges Elencwajg Mar 2 '13 at 20:20
@girianshiido: yes. –  Georges Elencwajg Mar 2 '13 at 20:24
Must be a French thing... :-) –  Martin Mar 2 '13 at 20:57
@Martin: oui! (and thanks for the link to my predecessors-rivals: grrr...!) –  Georges Elencwajg Mar 2 '13 at 21:43