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

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 ${\phi }_D$ and those of the $q$-generalized hypergeometric function ${}_{N+1}{\phi }_N$ as special cases.

References in corpus (2)

• An Elliptic Garnier System from Interpolation
• A certain generalization of $q$-hypergeometric functions and their related monodromy preserving deformation II