Computational Analysis for Hypergeometric Functions with some variables
| Project/Area Number |
25400132
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Kanazawa University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 複素解析 / 超幾何関数 / 数式処理 |
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| Outline of Final Research Achievements |
We studied and introduced new formula for hypergeometric functions by using technique of computer algebra. Rational Transformation for hypergeometric functions, development of new method for exactly computing special values of A-hypergeometric polynomials without Groebner theory, an algorithm for computing b-functions on parametric D-modules, Grothendieck local residues in special case. We implemented our algorithms on Risa/Asir a computer algebra system.
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Report
(4 results)
Research Products
(27 results)
