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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Author: Morita, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148080
• 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.

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.