3 papers
math.CA2026
Monodromy and Isomonodromy for Linear -Difference Systems with Coefficient Matrix
Jinghong Lin, Qian Tang, Xiaomeng Xu
In this paper, we construct canonical fundamental solutions for linear -difference systems with coefficient matrix , develop the associated isomonodromy theory, and study…
math.CA2024
Explicit evaluation of the -Stokes matrices for certain confluent hypergeometric -difference equations
Jinghong Lin, Yiming Ma, Xiaomeng Xu
We prove a connection formula for the basic hypergeomtric function by using the -Borel resummation. As an ap…
math.CA2024
Explicit evaluation of the Stokes matrices for certain quantum confluent hypergeometric equations
Jinghong Lin, Xiaomeng Xu
In this paper, we compute the Stokes matrices of a special quantum confluent hypergeometric system with Poincaré rank one. The sources of the interests in the Stokes phenomenon of…