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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2015 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-147165 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A Classical Limit of Noumi's q-Integral Operator |
| spellingShingle |
A Classical Limit of Noumi's q-Integral Operator Borodin, A. Corwin, I. Remenik, D. |
| title_short |
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_sort |
classical limit of noumi's q-integral operator |
| author |
Borodin, A. Corwin, I. Remenik, D. |
| author_facet |
Borodin, A. Corwin, I. Remenik, D. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147165 |
| 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. |
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