How do you simplify $2.5!$ $2.5!$ ?

Question

5760 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-26T07:33:57

Using the Gamma function we have

$2.5! =Gamma(7/2)=5/2*Gamma(5/2)=5/2 *3/2*Gamma(3/2)= 5/2*3/2*1/2*Gamma(1/2) =\frac{15\sqrt \pi}8~~3.32335097045.$

For positive half-integers, the function values are given exactly by

enter image source here

How do you simplify 2.5! 2.5!2.5! ?