pi 的正积分幂的数列表示法

Mingzhou Xu
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引用次数: 0

摘要

利用关于傅里叶级数的 Fej\'{e}r's theorem 的点式版本,我们得到了两个与 $\pi$ 的正积分幂的级数表示有关的公式。我们还通过应用 R 软件检验了公式的正确性。
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Series representations of positive integral powers of pi
Using a pointwise version of Fej\'{e}r's theorem about Fourier series, we obtain two formulae related to the series representations of positive integral powers of $\pi$. We also check the correctness of our formulae by the applications of the R software.
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