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Question Number 91258 by  M±th+et+s last updated on 28/Apr/20

$$provethat$$$${}_2{F}_1(\alpha ,\beta ,\beta -a+1,-1)=\frac{\mathrm{\Gamma }(\beta -a+1)\mathrm{\Gamma }(\frac{\beta }{2}+1)}{\mathrm{\Gamma }(\beta +1)\mathrm{\Gamma }(\frac{\beta }{2}-\alpha +1)}$$

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