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Montrer-que-pour-0-lt-z-lt-1-on-a-z-1-z-pi-sin-piz-




Question Number 113637 by eric last updated on 14/Sep/20
Montrer que pour 0<z<1 on a  Γ(z)Γ(1−z)=(π/(sin(πz)))
$${Montrer}\:{que}\:{pour}\:\mathrm{0}<{z}<\mathrm{1}\:{on}\:{a} \\ $$$$\Gamma\left({z}\right)\Gamma\left(\mathrm{1}−{z}\right)=\frac{\pi}{{sin}\left(\pi{z}\right)} \\ $$

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