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关于Cauchy’s Integral Formulae的证明的疑问

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hbghlyj Posted at 2022-9-13 02:53:55 |Read mode
Collorary 7.11写道:
Moreover the proof of Proposition 6.7 shows that if a disc $B(z_0, r)$ lies in $U$ and $γ(a, r)$ is its boundary then one obtains a Taylor series expansion for $f (w)$ which is valid for all $w$ such that $|w - z_0| < r$.
可是Proposition 6.7的证明中, 假设了$B(0, 2r) ∩ γ^∗ = ∅$, 而上面没有提到这个假设,只说了$B(z_0, r)\subset U$?

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2025-4-22 03:25 GMT+8

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