Tag Archives: Duplication

Gamma duplication formula proof

$$ \Gamma \left(\frac{1}{2}+n\right) = {(2n)! \over 4^n n!} \sqrt{\pi}$$ $$ \textit{proof} $$ For the proof we use induction by assuming \( n\geq 0 \). If \( n=0 \) we have our basic identity $$\Gamma\left(\frac{1}{2}\right) = \sqrt{\pi} $$ Now we need … Continue reading

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