How to calculate $\Gamma(3/4)$ ? [closed]

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when i'm using Euler's reflection formula $\Gamma(1/4)$ appears which i'm unable to solve again

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1 Answer

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This PDF is great for finding these values real quick. Taking a quick look, we have:

$$\Gamma\left(\frac14\right)=2\sqrt[4]\pi\sqrt{K\left(\frac1{\sqrt2}\right)}$$

where $K()$ is an elliptic integral of the first kind.

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