2009 Fiscal Year Final Research Report
Research of hypergeometric differential-difference equations
| Project/Area Number |
19740069
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Kanazawa University |
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Principal Investigator |
OHARA Katsuyoshi Kanazawa University, 数物科学系, 助教 (00313635)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 複素解析 / 超幾何関数 / 微分差分方程式 |
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| Research Abstract |
In this research, we proved theorems for hypergeometric functions by using hypergeometric differential-difference equations. We studied the rank theory for A-hypergeometric differential-difference equations. We found new transformation formulas for Lauricella's hypergeometric functions of 2 and 3 variables. We developed mathematical software on computer algebra system.
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