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Cauchy-Riemann equations (view source)
Revision as of 21:27, September 8, 2020
, 21:27, September 8, 2020new link
==Derivation==
==Derivation==
When defining the [[derivative]] of a real function, it is done through a [[limit (mathematics)|limit]]. The same method can be used for complex differentiation, defining it as,<ref name=MathematicalMethods/>
When defining the [[Derivative_(calculus)|derivative]] of a real function, it is done through a [[limit (mathematics)|limit]]. The same method can be used for complex differentiation, defining it as,<ref name=MathematicalMethods/>
:<math>
:<math>
L = \lim_{\Delta z \to 0} \frac{f(z+\Delta z) - f(z)}{\Delta z}
L = \lim_{\Delta z \to 0} \frac{f(z+\Delta z) - f(z)}{\Delta z}