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樓主
發(fā)表于 2025-3-21 18:10:12 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Gr?bner Deformations of Hypergeometric Differential Equations
編輯Mutsumi Saito,Bernd Sturmfels,Nobuki Takayama
視頻videohttp://file.papertrans.cn/391/390680/390680.mp4
叢書名稱Algorithms and Computation in Mathematics
圖書封面Titlebook: ;
出版日期Textbook 2000
版次1
doihttps://doi.org/10.1007/978-3-662-04112-3
isbn_softcover978-3-642-08534-5
isbn_ebook978-3-662-04112-3Series ISSN 1431-1550
issn_series 1431-1550
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沙發(fā)
發(fā)表于 2025-3-22 00:17:28 | 只看該作者
https://doi.org/10.1007/978-3-642-76728-9r strategy is to proceed in three steps: First we compute the .-ideal consisting of all operators which annihilate .(., .).; next we find annihilators of .(.) via the machinery of .-module theoretic integration, and finally we apply Chapter 2 to compute Nilsson series expansions of .(.).
板凳
發(fā)表于 2025-3-22 02:13:46 | 只看該作者
地板
發(fā)表于 2025-3-22 05:41:22 | 只看該作者
Basic Notions, deformation in.(.) . The issue is to extend it to a solution basis of .. This problem is solved in Chapter 2 under the natural hypothesis that the given .-ideal . is .. This hypothesis is valid for the .-ideals representing ., whose asymptotic expansions are constructed algorithmically in Chapter 5.
5#
發(fā)表于 2025-3-22 10:06:46 | 只看該作者
6#
發(fā)表于 2025-3-22 15:48:07 | 只看該作者
Integration of ,-modules,r strategy is to proceed in three steps: First we compute the .-ideal consisting of all operators which annihilate .(., .).; next we find annihilators of .(.) via the machinery of .-module theoretic integration, and finally we apply Chapter 2 to compute Nilsson series expansions of .(.).
7#
發(fā)表于 2025-3-22 20:18:53 | 只看該作者
8#
發(fā)表于 2025-3-22 23:27:39 | 只看該作者
Hypergeometric Series,he general techniques for studying and solving holonomic .-ideals, which were presented in Chapters 1 and 2, are applicable to all of these different formulations of multidimensional hypergeometric differential equations.
9#
發(fā)表于 2025-3-23 04:26:06 | 只看該作者
10#
發(fā)表于 2025-3-23 05:39:25 | 只看該作者
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