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Article: The product of a nonsymmetric jack polynomial with a linear function
Title | The product of a nonsymmetric jack polynomial with a linear function |
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Authors | |
Keywords | Generalized binomial coefficients Jack polynomials Pieri formula |
Issue Date | 2003 |
Publisher | American Mathematical Society. The Journal's web site is located at http://www.ams.org/proc |
Citation | Proceedings Of The American Mathematical Society, 2003, v. 131 n. 6, p. 1817-1827 How to Cite? |
Abstract | In this paper a decomposition in terms of the nonsymmetric Jack polynomials is given for the product of any nonsymmetric Jack polynomial E η(z) with z i. This decomposition generalises a recurrence formula satisfied by single variable orthogonal polynomials on the unit circle. The decomposition also allows the evaluation of the generalised binomial coefficients ( ν η) associated with the nonsymmetric Jack polynomials for |η| = |ν| + 1. |
Persistent Identifier | http://hdl.handle.net/10722/167177 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
References |
DC Field | Value | Language |
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dc.contributor.author | Marshall, D | en_HK |
dc.date.accessioned | 2012-09-28T04:05:20Z | - |
dc.date.available | 2012-09-28T04:05:20Z | - |
dc.date.issued | 2003 | en_HK |
dc.identifier.citation | Proceedings Of The American Mathematical Society, 2003, v. 131 n. 6, p. 1817-1827 | en_US |
dc.identifier.issn | 0002-9939 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/167177 | - |
dc.description.abstract | In this paper a decomposition in terms of the nonsymmetric Jack polynomials is given for the product of any nonsymmetric Jack polynomial E η(z) with z i. This decomposition generalises a recurrence formula satisfied by single variable orthogonal polynomials on the unit circle. The decomposition also allows the evaluation of the generalised binomial coefficients ( ν η) associated with the nonsymmetric Jack polynomials for |η| = |ν| + 1. | en_HK |
dc.language | eng | en_US |
dc.publisher | American Mathematical Society. The Journal's web site is located at http://www.ams.org/proc | en_HK |
dc.relation.ispartof | Proceedings of the American Mathematical Society | en_HK |
dc.rights | First published in [Proceedings of the American Mathematical Society] in [2003, v. 131 n. 6], published by the American Mathematical Society | - |
dc.subject | Generalized binomial coefficients | en_HK |
dc.subject | Jack polynomials | en_HK |
dc.subject | Pieri formula | en_HK |
dc.title | The product of a nonsymmetric jack polynomial with a linear function | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Marshall, D: danm@hku.hk | en_HK |
dc.identifier.authority | Marshall, D=rp01653 | en_HK |
dc.description.nature | published_or_final_version | en_US |
dc.identifier.scopus | eid_2-s2.0-0038401067 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0038401067&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 131 | en_HK |
dc.identifier.issue | 6 | en_HK |
dc.identifier.spage | 1817 | en_HK |
dc.identifier.epage | 1827 | en_HK |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Marshall, D=36710320100 | en_HK |
dc.customcontrol.immutable | csl 140330 | - |
dc.identifier.issnl | 0002-9939 | - |