A Connection Formula of the Hahn-Exton $q$-Bessel Function
Classical Analysis and ODEs
2011-12-19 v3
Abstract
We show a connection formula of the Hahn-Exton -Bessel function around the origin and the infinity. We introduce the -Borel transformation and the -Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit of the connection formula.
Cite
@article{arxiv.1105.1998,
title = {A Connection Formula of the Hahn-Exton $q$-Bessel Function},
author = {Takeshi Morita},
journal= {arXiv preprint arXiv:1105.1998},
year = {2011}
}