Global study of nonlinear special functions and its application
Project/Area Number |
22340037
|
Research Category |
Grant-in-Aid for Scientific Research (B)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | Keio University |
Principal Investigator |
|
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)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2010: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
|
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 / Riemann zeta 関数 / 4乗平均 / ロシア / 値分布 / Fibonacci数 / 代数的独立性 / 楕円関数 / Eisenstein級数 / 亀裂先端伝播 / 反平面(mod 3)モデル方程式 / kinked crack |
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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Report
(4 results)
Research Products
(29 results)