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