A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications

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dc.contributor.authorIto, M.
dc.date.accessioned2019-02-19T17:53:29Z
dc.date.available2019-02-19T17:53:29Z
dc.date.issued2009
dc.description.abstractWe present an explicit expression for the q-difference system, which the BC1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafson and the product formula of the q-integral introduced by Nassrallah-Rahman and Gustafson.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21–25, 2008, MPIM, Bonn, Germany).uk_UA
dc.identifier.citationA First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications / M. Ito // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 33D15; 33D67; 39A13
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149165
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applicationsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік