Macdonald Polynomials and Multivariable Basic Hypergeometric Series
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
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| Creator |
Schlosser, M.J.
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| Description |
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we show that the Pieri formula for Macdonald polynomials and its recently discovered inverse, a recursion formula for Macdonald polynomials, both represent multivariable extensions of the terminating very-well-poised 6φ5 summation formula. We derive several new related identities including multivariate extensions of Jackson's very-well-poised 8φ7 summation. Motivated by our basic hypergeometric analysis, we propose an extension of Macdonald polynomials to Macdonald symmetric functions indexed by partitions with complex parts. These appear to possess nice properties.
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| Date |
2019-02-16T08:31:56Z
2019-02-16T08:31:56Z 2007 |
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| Type |
Article
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| Identifier |
Macdonald Polynomials and Multivariable Basic Hypergeometric Series / M.J. Schlosser // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 55 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33D52; 15A09; 33D67 http://dspace.nbuv.gov.ua/handle/123456789/147804 |
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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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