q-Difference equations occupy a central role in modern mathematical analysis, providing a discrete analogue of differential equations in which the usual derivative is replaced by a finite-difference ...

So, a friend of mine was bored one day and came up with this problem on his own (it related closely to some personal circumstances of his own). It intrigued me, but I have not been able to solve it.

N is the population size for a hypergeometric distribution. In terms of acceptance sampling, N is the lot size. K is the number of items in the category of interest in the population. In terms of ...