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Question Number 198357 by pticantor last updated on 18/Oct/23

$$\mathit{l}\mathit{e}\mathit{t}\mathit{a}\in \mathbb{R},\mathit{z}\in \mathbb{C}$$$$\mathit{r}\mathit{e}\mathit{s}\mathit{o}\mathit{l}\mathit{v}\mathit{e}$$$${(\mathit{z}+1)}^{\mathit{n}}={\mathit{e}}^{\mathit{i}\pi \mathit{n}\mathit{a}}$$$$\mathit{d}\mathit{e}\mathit{d}\mathit{u}\mathit{c}\mathit{e}\mathit{t}\mathit{h}\mathit{a}\mathit{t}{\mathit{P}}_{\mathit{n}}=\underset{k=0}{\prod ^{\mathit{n}-1}}\mathit{s}\mathit{i}\mathit{n}(\mathit{a}+\frac{\mathit{k}\pi }{\mathit{n}})$$

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