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

[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.

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