This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which

The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series wer

The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken o

"In 1813, Gauss first outlined his studies of the hypergeometric series which has been of great significance in the mathematical modelling of physical phenomena

Significant revision of classic reference in special functions.