SciPy: what is a "generalized" continuous random variable?

I was trying to implement a half-logistic distribution and came across halflogistic and genhalflogistic.

• halflogistic: "A half-logistic continuous random variable."

• genhalflogistic: "A generalized half-logistic continuous random variable."

This "generalized" version comes up for some of SciPy's other continuous random variables as well, such as gennorm.

My question is: what does "generalized" mean and how is it different from the non-generalized version?