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

This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integ

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

In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hyp

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