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A connection formula of a divergent bilateral basic hypergeometric function (1402.3901v1)
Published 17 Feb 2014 in math.AP
Abstract: We give the new connection formula for the divergent bilateral basic hypergeometric series ${}_2\psi_2(a_1,a_2;b_1;q,x)$ 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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