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Tag: Abel

complex analysis

Complex analysis 5: Abel’s theorem

August 11, 2013August 13, 2013 - by zyymat - Leave a Comment

这里指的是复分析中关于幂级数的 Abel’s theorem, 目的是讨论幂级数在收敛圆周的性态. \( D=\{z\in\Bbb C:|z|<1\} \). Let \(f(z)=\sum\limits_{n=0}^\infty a_n z^n(a_n,z\in\Bbb C)\)be a power series, and the radius of convergence of \(f(z)\) is \(1\), \(\sum\limits_{n=0}^\infty a_n =s\). we cannot …

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