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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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A Connection Formula of the Hahn-Exton q-Bessel Function
Інший ID:
2010 Mathematics Subject Classification: 33D15; 34M40; 39A13
DOI: http://dx.doi.org/10.3842/SIGMA.2011.115
DOI: http://dx.doi.org/10.3842/SIGMA.2011.115
Посилання:
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.
Підтримка:
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.
Дата:
2011
Переглядів:
760
Завантажень:
257
Анотація:
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.
