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

Symmetry Integrability and Geometry-Methods and Applications

article

Takeshi Morita¹ 

[1] Graduate School of Information Science and Technology, Osaka University

关键词: Hahn–Exton q-Bessel function;    q-Borel transformation;    connection problems;   

DOI  :  10.3842/SIGMA.2011.115

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown