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

Takahiko Nobukawa

Symmetry, integrability and geometry: methods and applications, Tome 18 (2022)

Résumé

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.

Détail

Keywords: $q$-difference equations, $q$-hypergeometric series, Yang–Baxter equation.
Mots-clés : connection matrices

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