Generalized Bessel function of Type D
We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2008-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2008.075 |
| _version_ | 1811241732356964352 |
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| author | Nizar Demni |
| author_facet | Nizar Demni |
| author_sort | Nizar Demni |
| collection | DOAJ |
| description | We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D. |
| first_indexed | 2024-04-12T13:41:37Z |
| format | Article |
| id | doaj.art-d29001f129c44c25972206d8d7268ab1 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-12T13:41:37Z |
| publishDate | 2008-11-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-d29001f129c44c25972206d8d7268ab12022-12-22T03:30:51ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592008-11-014075Generalized Bessel function of Type DNizar DemniWe write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.http://dx.doi.org/10.3842/SIGMA.2008.075radial Dunkl processesBrownian motions in Weyl chambersgeneralized Bessel functionmultivariate hypergeometric series |
| spellingShingle | Nizar Demni Generalized Bessel function of Type D Symmetry, Integrability and Geometry: Methods and Applications radial Dunkl processes Brownian motions in Weyl chambers generalized Bessel function multivariate hypergeometric series |
| title | Generalized Bessel function of Type D |
| title_full | Generalized Bessel function of Type D |
| title_fullStr | Generalized Bessel function of Type D |
| title_full_unstemmed | Generalized Bessel function of Type D |
| title_short | Generalized Bessel function of Type D |
| title_sort | generalized bessel function of type d |
| topic | radial Dunkl processes Brownian motions in Weyl chambers generalized Bessel function multivariate hypergeometric series |
| url | http://dx.doi.org/10.3842/SIGMA.2008.075 |
| work_keys_str_mv | AT nizardemni generalizedbesselfunctionoftyped |