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Overview
"This book collects in one volume the author’s considerable results in the area of the summation of series and their representation in closed form, and details the techniques by which they have been obtained... the calculations are given in plenty of detail, and closely related work which has appeared in a variety of places is conveniently collected together." —The Australian Mathematical Society Gazette
Synopsis
This graduate textbook presents function theoretic methods for the summation of sums and series, specifically a computational technique based on residue theory for the summation of series of both hypergeometric and non-hypergeometric types. Sofo (Victoria University) proves Burmann's theorem and applies it to an Abel type series, considers binomial type sums with some parameters and a first order difference-delay system, and expresses a binomial type series with free parameters in closed form. Annotation ©2004 Book News, Inc., Portland, OR