New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
We present new Pieri-type formulas for Jack polynomials. As an application, we give a new derivation of higher order difference equations for interpolation Jack polynomials originally found by Knop and Sahi. We also propose Pieri formulas for the interpolation of Jack polynomials and intertwining re...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211002 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials. Genki Shibukawa. SIGMA 16 (2020), 118, 11 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862551260047081472 |
|---|---|
| author | Shibukawa, Genki |
| author_facet | Shibukawa, Genki |
| citation_txt | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials. Genki Shibukawa. SIGMA 16 (2020), 118, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We present new Pieri-type formulas for Jack polynomials. As an application, we give a new derivation of higher order difference equations for interpolation Jack polynomials originally found by Knop and Sahi. We also propose Pieri formulas for the interpolation of Jack polynomials and intertwining relations for a kernel function for Jack polynomials.
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| first_indexed | 2026-03-13T04:21:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211002 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T04:21:35Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Shibukawa, Genki 2025-12-22T09:21:21Z 2020 New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials. Genki Shibukawa. SIGMA 16 (2020), 118, 11 pages 1815-0659 2020 Mathematics Subject Classification: 05E05; 33C67; 43A90 arXiv:2004.12875 https://nasplib.isofts.kiev.ua/handle/123456789/211002 https://doi.org/10.3842/SIGMA.2020.118 We present new Pieri-type formulas for Jack polynomials. As an application, we give a new derivation of higher order difference equations for interpolation Jack polynomials originally found by Knop and Sahi. We also propose Pieri formulas for the interpolation of Jack polynomials and intertwining relations for a kernel function for Jack polynomials. We are grateful to Professor Masatoshi Noumi (Kobe University) for his helpful advice on our paper. We also wish to thank Professor Farrokh Atai for his valuable suggestions on Jack and interpolation Jack polynomials. Further, we thank the referees for their helpful comments. This work was supported by Grant-in-Aid for JSPS Fellows (Number 18J00233). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials Article published earlier |
| spellingShingle | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials Shibukawa, Genki |
| title | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials |
| title_full | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials |
| title_fullStr | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials |
| title_full_unstemmed | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials |
| title_short | New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials |
| title_sort | new pieri type formulas for jack polynomials and their applications to interpolation jack polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211002 |
| work_keys_str_mv | AT shibukawagenki newpieritypeformulasforjackpolynomialsandtheirapplicationstointerpolationjackpolynomials |