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arXiv · 2102.09175

Connection Problem for an Extension of $q$-Hypergeometric Systems

Takahiko Nobukawa
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Abstract

We give an example of solutions of the connection problem associated with a certain system of linear $q$-difference equations recently introduced by Park. The result contains a connection formulas of the $q$-Lauricella hypergeometric function $\varphi_{D}$ and those of the $q$-generalized hypergeometric function ${}_{N+1}\varphi_{N}$ as special cases.

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BibTeXRIS

Takahiko Nobukawa. 2021-02-18. Connection Problem for an Extension of $q$-Hypergeometric Systems. https://doi.org/10.3842/sigma.2022.080

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