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

preprint2011arXivOpen access

Abstract

We show a connection formula of the Hahn-Exton qq-Bessel function around the origin and the infinity. We introduce the qq-Borel transformation and the qq-Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit p→1−p\to 1^- of the connection formula.

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