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, ...

Hypergeometric Function: A series defined by a ratio of products of Gamma functions, generalising many elementary functions and providing solutions to a variety of differential equations.

In his writings about hypergeometric functions Gauss succeeded in moving beyond the restricted domain of eighteenth-century functions by changing ... Bos, H. J.M. [1974] Differentials, Higher-Order ...