Notable examples: 7! = 5040 (8th superior highly composite number) (-1/2)! = square root of π 0!=1!=1 Compared to just repeated multiplication, this is obviously not optimal for computing positive integer factorials. However, it is able to calculate factorial for ANY real number, including negatives and decimals.
I, me, and myself. This uses a combination of the integral definition of the gamma function and the property that Γ(x)*x=Γ(x+1). For values between 1 and 2, the integral definition is used. Then, the aforementioned property is applied to find the gamma of any other number.
