| 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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| 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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