Complementary study on monodromy preserving deformations and new special functions with integral representation
Project/Area Number |
21740118
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Global analysis
|
Research Institution | University of the Ryukyus |
Principal Investigator |
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | モノドロミ / 積分表示 / 楕円曲線 |
Research Abstract |
We studied properties of the Wirtinger integral which is represented in terms of a definite integral of a power product of theta functions. Moreover, we obtained research results regarding global behaviors of solutions to linear differential equations and detailed properties of monodromy preserving deformations.
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Report
(5 results)
Research Products
(29 results)