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

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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dc.contributor.author	Ito, M.
dc.date.accessioned	2019-02-19T17:53:29Z
dc.date.available	2019-02-19T17:53:29Z
dc.date.issued	2009
dc.identifier.citation	A 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.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 33D15; 33D67; 39A13
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149165
dc.description.abstract	We 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA