Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

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.

A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the ...

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 ...

In this paper, an identity is proved in which certain generalized hypergeometric functions $_{NP}F_{NQ + N - 1}$ are expressed as a linear combination of $N ...