Algebraic transformations of hypergeometric functions and automorphic   forms on Shimura curves
  In this paper, we will obtain new algebraic transformations of the $_2F_1$-hypergeometric functions. The main novelty in our approach is the interpretation of identities among $_2F_1$-hypergeometric functions as identities among automorphic forms on different Shimura curves. 
Fang-Ting Tu and Yifan Yang
math.NT math.CA