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

6.7k Views Asked by At

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

1

There are 1 best solutions below

2
On BEST ANSWER

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.