Archivo: Non-holomorphic complex conjugate

Descripción: Diagram showing why the function f ( z ) = z ¯ {\displaystyle f(z)={\bar {z}}} is not holomorphic. Along the real axis, it is equal to the function g(z) = z, and the limit of the slope as it approaches zero is 1. Along the imaginary axis, it is equal to the function g(z) = -z, and the limit of the slope as it approaches zero is -1. Other angles give yet different limits. Without a single matching limit, the function is not differentiable. Source below.
Título: Non-holomorphic complex conjugate
Créditos: Este diagrama fue creado con Mathematica
Autor(a): User:Dcoetzee
Términos de Uso: Creative Commons Zero, Public Domain Dedication
Licencia: CC0
Enlace de Licencia: http://creativecommons.org/publicdomain/zero/1.0/deed.en
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