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.

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 ...

It is well known that the hypergeometric functions $_2F_1 (\alpha \pm 1, \beta, \gamma; t), _2F_1(\alpha, \beta \pm 1, \gamma; t), \quad _2F_1 (\alpha, \beta, \gamma \pm 1; t),$ which are continguous ...