A Connection Formula of the Hahn-Exton q-Bessel Function
| dc.contributor.author | Morita, T. | |
| dc.date.accessioned | 2019-02-16T20:45:58Z | |
| dc.date.available | 2019-02-16T20:45:58Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 33D15; 34M40; 39A13 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2011.115 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/148080 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.status | published earlier | uk_UA |
| dc.title | A Connection Formula of the Hahn-Exton q-Bessel Function | uk_UA |
| dc.type | Article | uk_UA |
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