A connection formula of a divergent bilateral basic hypergeometric function

Takeshi Morita

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arXiv · 1402.3901

A connection formula of a divergent bilateral basic hypergeometric function

Takeshi Morita

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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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Takeshi Morita. 2014-02-17. A connection formula of a divergent bilateral basic hypergeometric function. https://arxiv.org/abs/1402.3901

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