Tag Archives: complex analysis

Cauchy-Riemann Let $f(z) = f(x + iy) = g(x, y) + ih(x, y)$. If it’s holomorphic, we can differentiate along the real line and the imaginary line: $f’ = \lim\frac{f(x + a, y) – f(x, y)}{a} = \frac{∂g}{∂x} + i\frac{∂h}{∂x}$ $f’ = … Continue reading →