This question already has an answer here:
Quick google search for factorial of non-integers led me to gamma function. I tried that in my calculator and it worked as expected for non-integers. Perhaps implements gamma function internally.
Now, for all positive numbers:
x < y => x! < y!
But not for numbers between 0 and 1.
0! = 1!. I played around to find this:
0! 1 0.1! 0.951 0.4! 0.887 0.425! 0.886 0.45! 0.885 0.5! 0.886 0.55! 0.888 0.6! 0.893 0.9! 0.96 1! 1
What is the floor for the gamma function (or the unrestricted by integers factorial function)? The floor is around 0.45 from the table. I'm curious to know what is the floor value and the number for which gamma is minimum.
Any significance or implications of these numbers would be interesting too.