Hundreds of thousands of mathematical results derived at Wolfram Research give Mathematica
unprecedented strength in the transformation and simplification of hypergeometric functions. This allows hypergeometric functions for the first time to take their place as a practical nexus between many special functions—and makes possible a major new level of algorithmic calculus.
Ordinary & Generalized Hypergeometric Functions
Confluent Hypergeometric Functions
Regularized Hypergeometric Functions
Multivariate Hypergeometric Functions