Gröbner deformations of hypergeometric differential equations
著者
書誌事項
Gröbner deformations of hypergeometric differential equations
（Algorithms and computation in mathematics, v. 6）
Springer, c2000
- : pbk
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注記
Includes bibliographical references (p. [245]-249) and index
内容説明・目次
内容説明
The theory of Groebner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Groebner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics.
目次
1. Basic Notions.- 2. Solving Regular Holonomic Systems.- 3. Hypergeometric Series.- 4. Rank versus Volume.- 5. Integration of D-modules.- References.
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