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 formula of the 𝑞-Lauricella hypergeometric function 𝜑D and those of the 𝑞-generalized hypergeometric function N₊₁𝜑N as special cases.