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An analytic formula for the A2 Jack polynomials

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dc.contributor.authorMangazeev, Vladimir
dc.date.accessioned2009-06-09T00:15:55Zen_US
dc.date.accessioned2010-12-20T06:03:25Z
dc.date.available2009-06-09T00:15:55Zen_US
dc.date.available2010-12-20T06:03:25Z
dc.date.issued2007-01-24en_US
dc.date.updated2015-12-08T08:27:08Z
dc.description.abstractIn 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 An Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27–34] where the integral representations for the A2 Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the A2 Jack polynomials in terms of generalised hypergeometric functions.
dc.format11 pages
dc.identifier.citationSymmetry, Integrability and Geometry: Methods and Applications 3.014 (2007)
dc.identifier.issn1815-0659en_US
dc.identifier.urihttp://hdl.handle.net/10440/431en_US
dc.identifier.urihttp://digitalcollections.anu.edu.au/handle/10440/431
dc.publisherNational Academy of Sciences of Ukraine
dc.rightshttp://www.emis.de/journals/SIGMA/about.html#overlay "The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence." - from journal web site (as at 23/02/10)
dc.sourceSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
dc.source.urihttp://www.emis.de/journals/SIGMA/2007/014/sigma07-014.pdfen_US
dc.subjectJack polynomials
dc.subjectintegral operators
dc.subjecthypergeometric functions
dc.titleAn analytic formula for the A2 Jack polynomials
dc.typeJournal article
dcterms.dateAccepted2007-01-05en_US
local.bibliographicCitation.lastpage11)
local.bibliographicCitation.startpage014(1
local.contributor.affiliationMangazeev, Vladimir, Research School of Physical Sciences and Engineering, Department of Theoretical Physicsen_US
local.contributor.authoruidu9413802en_US
local.identifier.absfor010501en_US
local.identifier.ariespublicationu4056230xPUB86en_US
local.identifier.citationvolume3
local.identifier.doi10.3842/SIGMA.2007.014
local.identifier.scopusID2-s2.0-84889234747
local.type.statusPublished Versionen_US

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