A connection formula of a divergent bilateral basic hypergeometric function

preprint2014arXivOpen access

We give the new connection formula for the divergent bilateral basic hypergeometric series ${}_2ψ_2(a_1,a_2;b_1;q,x)$ by the using of the $q$ -Borel-Laplace resummation method and Slater's formula. The connection coefficients are given by elliptic functions.

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A connection formula of a divergent bilateral basic hypergeometric function

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