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 ...

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 ...

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.

This is a preview. Log in through your library . Abstract Motivated essentially by several recent works on interesting generalizations of the first-order Volterra-type integro-differential equation ...