Polynomials Associated with Dihedral Groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Polynomials Associated with Dihedral Groups
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| Creator |
Dunkl, C.F.
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| Description |
There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials. The last section of the paper deals with parameter values for which the formulae have singularities.
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| Date |
2019-02-16T08:35:28Z
2019-02-16T08:35:28Z 2007 |
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| Type |
Article
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| Identifier |
Polynomials Associated with Dihedral Groups / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33C45; 33C80; 20F55 http://dspace.nbuv.gov.ua/handle/123456789/147808 |
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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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