A new approach to hypergeometric transformation formulas
arXiv:1904.03812
Abstract
We give a new method to prove in a uniform and easy way various transformation formulas for Gauss hypergeometric functions. The key is Jacobi's canonical form of the hypergeometric differential equation. Analogy for -hypergeometric functions is also studied.
18 pages, formerly entitled "A canonical form of the hypergeometric equation and transformation formulas"