When trying to prove: $\Gamma\left(\dfrac{n}{2}\right)=\dfrac{2^{1-n}\sqrt{\pi }(n-1)!}{\left ( \frac{n-1}{2} \right )!}$, for all $n\in\mathbb{N}$, by mathematical induction, I cannot get a relation between $\Gamma \left ( \frac{n}{2} \right )$ and $\Gamma \left ( \frac{n+1}{2} \right )$ to make the proof valid. Is there anything I'm missing or maybe another way to prove it?
2026-04-11 19:50:21.1775937021
Gamma function identity proof
75 Views Asked by user63181 https://math.techqa.club/user/user63181/detail AtRelated Questions in SOLUTION-VERIFICATION
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