A Limit Relation for Dunkl-Bessel Functions of Type A and B
We prove a limit relation for the Dunkl-Bessel function of type BN with multiplicity parameters k₁ on the roots ±ei and k₂ on ±ei±ej where k₁ tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkl-type Bessel function of type An₋₁orresponding lim...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148078 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Limit Relation for Dunkl-Bessel Functions of Type A and B / M. Rösler, M. Voit // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862636828835708928 |
|---|---|
| author | Rösler, M. Voit, M. |
| author_facet | Rösler, M. Voit, M. |
| citation_txt | A Limit Relation for Dunkl-Bessel Functions of Type A and B / M. Rösler, M. Voit // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove a limit relation for the Dunkl-Bessel function of type BN with multiplicity parameters k₁ on the roots ±ei and k₂ on ±ei±ej where k₁ tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkl-type Bessel function of type An₋₁orresponding limit relation for Bessel functions on matrix cones.
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| first_indexed | 2025-11-30T22:06:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148078 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T22:06:53Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Rösler, M. Voit, M. 2019-02-16T20:43:17Z 2019-02-16T20:43:17Z 2008 A Limit Relation for Dunkl-Bessel Functions of Type A and B / M. Rösler, M. Voit // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33C67; 43A85; 20F55 https://nasplib.isofts.kiev.ua/handle/123456789/148078 We prove a limit relation for the Dunkl-Bessel function of type BN with multiplicity parameters k₁ on the roots ±ei and k₂ on ±ei±ej where k₁ tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkl-type Bessel function of type An₋₁orresponding limit relation for Bessel functions on matrix cones. This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Limit Relation for Dunkl-Bessel Functions of Type A and B Article published earlier |
| spellingShingle | A Limit Relation for Dunkl-Bessel Functions of Type A and B Rösler, M. Voit, M. |
| title | A Limit Relation for Dunkl-Bessel Functions of Type A and B |
| title_full | A Limit Relation for Dunkl-Bessel Functions of Type A and B |
| title_fullStr | A Limit Relation for Dunkl-Bessel Functions of Type A and B |
| title_full_unstemmed | A Limit Relation for Dunkl-Bessel Functions of Type A and B |
| title_short | A Limit Relation for Dunkl-Bessel Functions of Type A and B |
| title_sort | limit relation for dunkl-bessel functions of type a and b |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148078 |
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