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Zheyuan Wu
2025-02-05 13:50:36 -06:00

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@@ -61,8 +61,6 @@ $$
> <!---TODO: check after lecture--> > <!---TODO: check after lecture-->
> $f$ is differentiable if and only if $f(z+h)=f(z)+f'(z)h+\frac{1}{2}h^2f''(z)+o(h^3)$ as $h\to 0$. > $f$ is differentiable if and only if $f(z+h)=f(z)+f'(z)h+\frac{1}{2}h^2f''(z)+o(h^3)$ as $h\to 0$.
Since $f$ is holomorphic at $\gamma(t_0)=\zeta_0$, we have Since $f$ is holomorphic at $\gamma(t_0)=\zeta_0$, we have
$$ $$