Anti-Analytic Function
An anti-analytic function is a function f satisfying the condition
| [画像: (df)/(dz)=0. ] |
(1)
|
Using the result
| [画像: (df)/(dz)=(partialf)/(partialx)(partialx)/(partialz)+(partialf)/(partialy)(partialy)/(partialz) ] |
(2)
|
gives the anti-analytic version of the Cauchy-Riemann equations as
(du)/(dx) = [画像:-(dv)/(dy)]
(3)
(dv)/(dx) = (du)/(dy).
(4)
See also
Analytic Function, Cauchy-Riemann EquationsThis entry contributed by Adam Getchell
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Cite this as:
Getchell, Adam. "Anti-Analytic Function." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Anti-AnalyticFunction.html