Computational Techniques for the Summation of Series

Description:

Computational Techniques for the Summation of Series is a text on the representation of series in closed form. The book presents a unified treatment of summation of sums and series using function theoretic methods. A technique is developed based on residue theory that is useful for the summation of series of both Hypergeometric and Non-Hypergeometric type. The theory is supported by a large number of examples. The book is both a blending of continuous and discrete mathematics and, in addition to its theoretical base; it also places many of the examples in an applicable setting. This text is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in mathematics, engineering and related fields.

subjects: Functional equations,  Functions of complex variables,  Series,  Summability theory,  Mathematics,  Sequences (Mathematics),  Electronic data processing,  Integral Transforms,  Sequences, Series, Summability,  Difference and Functional Equations,  Operational Calculus Integral Transforms,  Numeric Computing