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 ...

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 ...

We introduce a unified framework for solving first passage times of time-homogeneous diffusion processes. Using potential theory and perturbation theory, we are able to deduce closed-form truncated ...