| 书目名称 | Hypergeometric Summation |
| 副标题 | An Algorithmic Appro |
| 编辑 | Wolfram Koepf |
| 视频video | |
| 概述 | Provides a self-contained and easy-to-read introduction to algorithmic summation.Presents the essential algorithms due to Fasenmyer, Gosper, Zeilberger and Petkovšek.Studies the ideas of the state-of- |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | .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 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.. |
| 出版日期 | Textbook 2014Latest edition |
| 关键词 | Algorithmic Summation; Antidifference; Basic Hypergeometric Series; Differential Equation; Fasenmyer Alg |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4471-6464-7 |
| isbn_softcover | 978-1-4471-6463-0 |
| isbn_ebook | 978-1-4471-6464-7Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer-Verlag London 2014 |
发表于 2025-3-21 16:04:21
