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Question Number 107621 by mathdave last updated on 11/Aug/20

Commented by john santu last updated on 12/Aug/20

$$\mathrm{\Gamma }\left(2x\right)=\frac{4^x\mathrm{\Gamma }\left(x\right)\mathrm{\Gamma }(x+\frac{1}{2})}{2\sqrt{\pi }}.$$$$putx=\frac{n}{4}$$$$\mathrm{\Gamma }\left(\frac{n}{2}\right)=\frac{4^{\frac{n}{4}}\mathrm{\Gamma }\left(\frac{n}{4}\right)\mathrm{\Gamma }(\frac{n}{4}+\frac{1}{2})}{2\sqrt{\pi }}$$$$...$$

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