Description: Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, Paperback by Koepf, Wolfram, ISBN 1447164636, ISBN-13 9781447164630, Brand New, Free shipping in the US
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™.
The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovšek 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 th.
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.
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Book Title: Hypergeometric Summation : An Algorithmic Approach to Summation a
Number of Pages: Xvii, 279 Pages
Publication Name: Hypergeometric Summation : an Algorithmic Approach to Summation and Special Function Identities
Language: English
Publisher: Springer London, The Limited
Publication Year: 2014
Subject: Programming / Algorithms, Mathematical & Statistical Software, Mathematical Analysis
Type: Textbook
Item Weight: 161.2 Oz
Author: Wolfram Koepf
Subject Area: Mathematics, Computers
Item Length: 9.3 in
Series: Universitext Ser.
Item Width: 6.1 in
Format: Trade Paperback
