A Connection Formula of the Hahn-Exton q-Bessel Function
We show a connection formula of the Hahn-Exton q-Bessel function around the origin and the infinity. We introduce the q-Borel transformation and the q-Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit p→1⁻ of the connection formula.
Збережено в:
| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2011 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148080 |
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| Цитувати: | A Connection Formula of the Hahn-Exton q-Bessel Function / T. Morita // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 9 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148080 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1480802019-02-17T01:26:29Z A Connection Formula of the Hahn-Exton q-Bessel Function Morita, T. We show a connection formula of the Hahn-Exton q-Bessel function around the origin and the infinity. We introduce the q-Borel transformation and the q-Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit p→1⁻ of the connection formula. 2011 Article A Connection Formula of the Hahn-Exton q-Bessel Function / T. Morita // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D15; 34M40; 39A13 DOI: http://dx.doi.org/10.3842/SIGMA.2011.115 http://dspace.nbuv.gov.ua/handle/123456789/148080 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We show a connection formula of the Hahn-Exton q-Bessel function around the origin and the infinity. We introduce the q-Borel transformation and the q-Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit p→1⁻ of the connection formula. |
| format |
Article |
| author |
Morita, T. |
| spellingShingle |
Morita, T. A Connection Formula of the Hahn-Exton q-Bessel Function Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Morita, T. |
| author_sort |
Morita, T. |
| title |
A Connection Formula of the Hahn-Exton q-Bessel Function |
| title_short |
A Connection Formula of the Hahn-Exton q-Bessel Function |
| title_full |
A Connection Formula of the Hahn-Exton q-Bessel Function |
| title_fullStr |
A Connection Formula of the Hahn-Exton q-Bessel Function |
| title_full_unstemmed |
A Connection Formula of the Hahn-Exton q-Bessel Function |
| title_sort |
connection formula of the hahn-exton q-bessel function |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148080 |
| citation_txt |
A Connection Formula of the Hahn-Exton q-Bessel Function / T. Morita // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 9 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT moritat aconnectionformulaofthehahnextonqbesselfunction AT moritat connectionformulaofthehahnextonqbesselfunction |
| first_indexed |
2023-05-20T17:29:14Z |
| last_indexed |
2023-05-20T17:29:14Z |
| _version_ |
1796153405822992384 |