An asymptotic formula of the divergent bilateral basic hypergeometric series

preprint2012arXivOpen access

We show an asymptotic formula of the divergent bilateral basic hypergeometric series ${}_1ψ_0 (a;-;q,\cdot)$ with using the $q$ -Borel-Laplace method. We also give the limit $q\to 1-0$ of our asymptotic formula.

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An asymptotic formula of the divergent bilateral basic hypergeometric series

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