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 ...

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.