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

作者：Morita Takeshi^*

来源：Symmetry Integrability and Geometry-Methods and Applications, 2011, 7: 115.

DOI：10.3842/SIGMA.2011.115

• Hahn-Exton q-Bessel function
• q-Borel transformation
• connection problems

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.

• 出版日期2011