论文标题
从傅立叶系列到$π$的无限产品表示，其正力量的无限系列形式
From Fourier series to infinite product representations of $π$ and infinite-series forms for its positive powers
论文作者
论文摘要
在本文中，我们使用傅立叶系列和函数$π/\ sin（πx）$的多重导数，$π$的正功率的串联表示形式。我们还表明，可以轻松地从相同的形式主义获得Euler-Wallis产品，并推断出$π$的无限产品表示。
In this article, we derive, using Fourier series and multiple derivative of the function $π/\sin(πx)$, series representations for positive powers of $π$. We also show that the Euler-Wallis product can be easily obtained from the same formalism and deduce infinite products representations of $π$.
