English

An asymptotic formula of the divergent bilateral basic hypergeometric series

Classical Analysis and ODEs 2012-05-10 v2

Abstract

We show an asymptotic formula of the divergent bilateral basic hypergeometric series 1ψ0(a;;q,){}_1\psi_0 (a;-;q,\cdot) with using the qq-Borel-Laplace method. We also give the limit q10q\to 1-0 of our asymptotic formula.

Keywords

Cite

@article{arxiv.1205.1453,
  title  = {An asymptotic formula of the divergent bilateral basic hypergeometric series},
  author = {Takeshi Morita},
  journal= {arXiv preprint arXiv:1205.1453},
  year   = {2012}
}