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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2011 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148080 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745322727407616 |
|---|---|
| author | Morita, T. |
| author_facet | Morita, T. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T20:40:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148080 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:40:09Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Morita, T. 2019-02-16T20:45:58Z 2019-02-16T20:45:58Z 2011 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 https://nasplib.isofts.kiev.ua/handle/123456789/148080 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. The author would like to express his deepest gratitude to Professor Yousuke Ohyama for many valuable comments. The author also expresses his thanks to Professor Lucia Di Vizio for fruitful discussions when she was invited to the University of Tokyo in the winter 2011. The author would like to give thanks to the referee for some useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Connection Formula of the Hahn-Exton q-Bessel Function Article published earlier |
| spellingShingle | A Connection Formula of the Hahn-Exton q-Bessel Function Morita, T. |
| title | 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_short | A Connection Formula of the Hahn-Exton q-Bessel Function |
| title_sort | connection formula of the hahn-exton q-bessel function |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148080 |
| work_keys_str_mv | AT moritat aconnectionformulaofthehahnextonqbesselfunction AT moritat connectionformulaofthehahnextonqbesselfunction |