I was just wondering, what would you use the gamma function for? I'm not that far enough in the mathematical field to know, so that's why i ask. Maybe a real world example? Thanks.
The gamma function shows up in a number of common probability distributions. For example, there is the gamma distribution, which is useful for modeling how long it will be until some random-ish thing happens: how long until some machine fails, how long until some extreme weather event happens. (Or something like that; I'm at the far borders of my field of expertise here.)