A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications
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| Creator |
Ito, M.
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| Description |
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.
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| Date |
2019-02-19T17:53:29Z
2019-02-19T17:53:29Z 2009 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 33D15; 33D67; 39A13 http://dspace.nbuv.gov.ua/handle/123456789/149165 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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