Project/Area Number |
22540027
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | University of the Ryukyus |
Principal Investigator |
|
Co-Investigator(Renkei-kenkyūsha) |
ITOU Masahiko 東京電機大学, 未来科学部, 准教授 (30348461)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
|
Keywords | Koornwinder 多項式 / 直交多項式 / Baker-Forrester 定数項予想 / Dyson-Mehta 積分公式 / Koornwinder polynomial / orthogonal polynomial / Selberg integral / constant term conjecture / double affine Hecke algebra / Baker-Forrester constant term conjecture / Baker-Forrester constant |
Research Abstract |
We studied properties of Koornwinder polynpurpose of applying it to the Baker-Forrester's constaequivalent to a certain q-integration formula. Althouwe have obtained a q-integration formula different froin particular, implies a generalization of the Dyson
|