A Classical Limit of Noumi's q-Integral Operator
We demonstrate how a known Whittaker function integral identity arises from the t=0 and q→1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's q-integral operator.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2015 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147165 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Classical Limit of Noumi's q-Integral Operator / A. Borodin, I. Corwin, D. Remenik // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862668122535755776 |
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| author | Borodin, A. Corwin, I. Remenik, D. |
| author_facet | Borodin, A. Corwin, I. Remenik, D. |
| citation_txt | A Classical Limit of Noumi's q-Integral Operator / A. Borodin, I. Corwin, D. Remenik // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We demonstrate how a known Whittaker function integral identity arises from the t=0 and q→1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's q-integral operator.
|
| first_indexed | 2025-12-07T15:24:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147165 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:24:16Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Borodin, A. Corwin, I. Remenik, D. 2019-02-13T18:00:37Z 2019-02-13T18:00:37Z 2015 A Classical Limit of Noumi's q-Integral Operator / A. Borodin, I. Corwin, D. Remenik // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 13 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 05E05; 33D52; 33D52; 82B23 DOI:10.3842/SIGMA.2015.098 https://nasplib.isofts.kiev.ua/handle/123456789/147165 We demonstrate how a known Whittaker function integral identity arises from the t=0 and q→1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's q-integral operator. We appreciate helpful comments from our referees. AB was partially supported by the NSF
 grant DMS-1056390. IC was partially supported by the NSF through DMS-1208998 as well
 as by the Clay Mathematics Institute through the Clay Research Fellowship, by the Institute
 Henri Poincar´e through the Poincar´e Chair, and by the Packard Foundation through a Packard
 Foundation Fellowship. DR was partially supported by Fondecyt Grant 1120309, by Conicyt
 Basal-CMM, and by Programa Iniciativa Cient´ıfica Milenio grant number NC130062 through
 Nucleus Millenium Stochastic Models of Complex and Disordered Systems. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Classical Limit of Noumi's q-Integral Operator Article published earlier |
| spellingShingle | A Classical Limit of Noumi's q-Integral Operator Borodin, A. Corwin, I. Remenik, D. |
| title | A Classical Limit of Noumi's q-Integral Operator |
| title_full | A Classical Limit of Noumi's q-Integral Operator |
| title_fullStr | A Classical Limit of Noumi's q-Integral Operator |
| title_full_unstemmed | A Classical Limit of Noumi's q-Integral Operator |
| title_short | A Classical Limit of Noumi's q-Integral Operator |
| title_sort | classical limit of noumi's q-integral operator |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147165 |
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