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Item Details
| Title:
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HYPERGEOMETRIC SUMMATION
AN ALGORITHMIC APPROACH TO SUMMATION AND SPECIAL FUNCTION IDENTITIES |
| By: |
Wolfram Koepf |
| Format: |
Paperback |
| List price:
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£54.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1447164636 |
| ISBN 13: |
9781447164630 |
| Publisher: |
SPRINGER LONDON LTD |
| Pub. date: |
11 June, 2014 |
| Edition: |
2nd ed. 2014 |
| Series: |
Universitext |
| Pages: |
279 |
| Description: |
Hypergeometric Summation |
| Synopsis: |
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. |
| Illustrations: |
5 Tables, black and white; 3 Illustrations, color; 2 Illustrations, black |
| Publication: |
UK |
| Imprint: |
Springer London Ltd |
| Returns: |
Returnable |
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