2012 Fiscal Year Final Research Report
Global study of nonlinear special functions and its application
| Project/Area Number |
22340037
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Keio University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
SHIOKAWA Iekata 慶應義塾大学, 理工学部, 名誉教授 (00015835)
TANI Atusi 慶應義塾大学, 理工学部, 名誉教授 (90118969)
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| Project Period (FY) |
2010 – 2012
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| Keywords | Painleve方程式 / 漸近表現 / 差分Painleve方程式 / Riemann zeta-function / 4乗平均 / Ramanujan q-series / ドイツ:アメリカ / 国際研究者交流 |
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| Research Abstract |
For truncated solutions of the Painleve equation (V), we estimated the frequency of a-points including poles outside their proper sectors. For the difference Painleve equation (dII) we obtained asymptotic expressions of certain solutions describing how th
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