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Anti-Analytic Function

An anti-analytic function is a function f satisfying the condition

(df)/(dz)=0.
(1)

Using the result

(df)/(dz)=(partialf)/(partialx)(partialx)/(partialz)+(partialf)/(partialy)(partialy)/(partialz)
(2)

gives the anti-analytic version of the Cauchy-Riemann equations as

(du)/(dx)=-(dv)/(dy)
(3)
(dv)/(dx)=(du)/(dy).
(4)

See also

Analytic Function, Cauchy-Riemann Equations

This entry contributed by Adam Getchell

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Cite this as:

Getchell, Adam. "Anti-Analytic Function." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Anti-AnalyticFunction.html

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