A connection formula of a divergent bilateral basic hypergeometric function
Analysis of PDEs
2014-02-18 v1
Abstract
We give the new connection formula for the divergent bilateral basic hypergeometric series by the using of the -Borel-Laplace resummation method and Slater's formula. The connection coefficients are given by elliptic functions.
Cite
@article{arxiv.1402.3901,
title = {A connection formula of a divergent bilateral basic hypergeometric function},
author = {Takeshi Morita},
journal= {arXiv preprint arXiv:1402.3901},
year = {2014}
}