The Stokes phenomenon for the $q$-difference equation satisfied by the basic hypergeometric series ${}_3\varphi_1(a_1,a_2,a_3;b_1;q,x)$
Analysis of PDEs
2014-02-18 v1
Abstract
We show the connection formula for the basic hypergeometric series between around the origin and infinity by the using of the -Borel-Laplace transformations. We also show the limit of the new connection formula.
Keywords
Cite
@article{arxiv.1402.3903,
title = {The Stokes phenomenon for the $q$-difference equation satisfied by the basic hypergeometric series ${}_3\varphi_1(a_1,a_2,a_3;b_1;q,x)$},
author = {Takeshi Morita},
journal= {arXiv preprint arXiv:1402.3903},
year = {2014}
}