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 ...

Transactions of the American Mathematical Society, Vol. 370, No. 9 (September 2018), pp. 6433-6467 (35 pages) Let X06(1)/W6 be the Atkin–Lehner quotient of the Shimura curve X06(1) associated to a ...

Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...

The connection between functions of hypergeometric type and representations of certain Lie algebras is exploited by classifying the irreducible representations of the corresponding local Lie groups.

Abstract: Hypergeometric functions occur in many shapes and flavours throughout mathematics and mathematical physics. The first such functions were introduced by Euler and studied in depth by Gauss.

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 ...