Explicit evaluation of the $q$-Stokes matrices for certain confluent hypergeometric $q$-difference equations

Jinghong Lin, Yiming Ma, Xiaomeng Xu

We prove a connection formula for the basic hypergeomtric function ${}_n\ddot{I}{†}_{n-1}\left(a_1,...,a_{n-1},0;b_1,...,b_{n-1};q,z\right)$ by using the $q$-Borel resummation. As an a…