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Hypergeometric Summation

Hypergeometric Summation

An Algorithmic Approach to Summation and Special Function Identities

by Wolfram Koepf
Paperback
Publication Date: 25/06/2014

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Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple (TM).

The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovsek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as q-analogues of the above algorithms are covered. Similar algorithms concerning differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book.

The combination of these results gives orthogonal polynomials and (hypergeometric and q-hypergeometric) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given.

The materials covered are suitable for an introductory course on algorithmic summation and will appeal to students and researchers alike.
ISBN:
9781447164630
9781447164630
Category:
Mathematical & statistical software
Format:
Paperback
Publication Date:
25-06-2014
Language:
English
Publisher:
Springer London Ltd
Country of origin:
United Kingdom
Edition:
2nd Edition
Pages:
279
Dimensions (mm):
235x155x16mm
Weight:
4.57kg

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