Significant revision of classic reference in special functions.

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

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

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines an

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra sy