A Connection Formula of the Hahn-Exton q-Bessel Function

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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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.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	http://dspace.nbuv.gov.ua/handle/123456789/148080
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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Connection Formula of the Hahn-Exton q-Bessel Function	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA