Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 014, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.014 (Mi sigma140) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Analytic Formula for the $\mathrm A_2$ Jack Polynomials

Vladimir V. Mangazeev

Department of Theoretical Physics, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, Australia
Full-text PDF (243 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2007.014
Abstract: In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451–482] on separation of variables (SoV) for the $A_n$ Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27–34] where the integral representations for the $A_2$ Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the $A_2$ Jack polynomials in terms of generalised hypergeometric functions.
Keywords: Jack polynomials; integral operators; hypergeometric functions.
Received: November 1, 2006; in final form January 5, 2007; Published online January 24, 2007
Bibliographic databases:
Document Type: Article
MSC: 05E05; 33C20; 82B23
Language: English
Citation: Vladimir V. Mangazeev, “An Analytic Formula for the $\mathrm A_2$ Jack Polynomials”, SIGMA, 3 (2007), 014, 11 pp.
Citation in format AMSBIB
\Bibitem{Man07}
\by Vladimir V.~Mangazeev
\paper An Analytic Formula for the $\mathrm A_2$ Jack Polynomials
\jour SIGMA
\yr 2007
\vol 3
\papernumber 014
\totalpages 11
\mathnet{http://mi.mathnet.ru/sigma140}
\crossref{https://doi.org/10.3842/SIGMA.2007.014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2280340}
\zmath{https://zbmath.org/?q=an:05241527}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065200014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234747}
Linking options:
  • https://www.mathnet.ru/eng/sigma140
  • https://www.mathnet.ru/eng/sigma/v3/p14
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:179
    Full-text PDF :57
    References:49
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024