Re: Necessarily complex?



On May 3, 10:01 am, "Max Herrmann" <max.herrm...@xxxxxxxxxxx> wrote:
Thank you. Sounds good.
What does "IIRC" mean, by the way?

Max

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On May 3, 2007 7:19 AM CT, Max Herrmann

Hi there,

is a harmonic function necessarily real-valued?

Thank you for your help!

Max

No, I don't believe this is true.

IIRC, an arbitrary analytic complex function satisfies
the Cauchy-Riemann equations. This, in turn, implies
the function is harmonic (i.e. satisfies the Laplace
equation). Moreover, the real and imaginary parts are
always harmonic conjugates.

Regards,
Kyle Czarnecki- Hide quoted text -

- Show quoted text -

IIRC = If I Recall Correctly

HTH!

;-)

.



Relevant Pages

  • Re: Necessarily complex?
    ... What does "IIRC" mean, by the way? ... an arbitrary analytic complex function satisfies ... the Cauchy-Riemann equations. ... This, in turn, implies ...
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  • Re: Necessarily complex?
    ... On May 3, 2007 7:19 AM CT, Max Herrmann ... IIRC, an arbitrary analytic complex function satisfies ... the Cauchy-Riemann equations. ...
    (sci.math)