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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2008 |
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| Sprache: | English |
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Інститут математики НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148078 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A Limit Relation for Dunkl-Bessel Functions of Type A and B |
| spellingShingle |
A Limit Relation for Dunkl-Bessel Functions of Type A and B Rösler, M. Voit, M. |
| title_short |
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_sort |
limit relation for dunkl-bessel functions of type a and b |
| author |
Rösler, M. Voit, M. |
| author_facet |
Rösler, M. Voit, M. |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148078 |
| 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. |
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| first_indexed |
2025-11-30T22:06:53Z |
| last_indexed |
2025-11-30T22:06:53Z |
| _version_ |
1850858569187983360 |