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Koornwinder polynomials and its application

Research Project

Project/Area Number 22540027
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionUniversity of the Ryukyus

Principal Investigator

KANEKO Jyouichi  琉球大学, 理学部, 教授 (10194911)

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)
KeywordsKoornwinder 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

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (3 results)

All 2011 2010

All Presentation (3 results)

  • [Presentation] Aremark Forrester's constant term conZetas and Limit Laws in Okinaw2011

    • Author(s)
      Jyoichi Kaneko
    • Organizer
      フェストーネ
    • Place of Presentation
      宜野湾市
    • Year and Date
      2011-11-27
    • Related Report
      2012 Final Research Report
  • [Presentation] A remark on Forrester's constant term conjecture2011

    • Author(s)
      金子譲一
    • Organizer
      Zetas and Limit Laws in Okinawa 2011
    • Place of Presentation
      カルチャーリゾートフェストーネ
    • Year and Date
      2011-11-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] On the BakeForrester's constant term conZetas and Limit Laws in Okinaw2010

    • Author(s)
      Jyoichi Kaneko
    • Organizer
      沖縄コンベンションセンター
    • Place of Presentation
      宜野湾市
    • Year and Date
      2010-11-08
    • Related Report
      2012 Final Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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