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

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

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