Xiao-Meng Xu

collaborators

3 papers

math.CA2024

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 $_{n} φ_{n - 1} (a_{1}, ..., a_{n - 1}, 0; b_{1}, ..., b_{n - 1}; q, z)$ by using the $q$ -Borel resummation. As an ap…

math-ph2024

WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities

Anton Alekseev, Andrew Neitzke, Xiaomeng Xu +1

We consider an $n \times n$ system of ODEs on $P^{1}$ with a simple pole $A$ at $z = 0$ and a double pole $u = diag (u_{1}, \dots, u_{n})$ at $z = \infty$ . This is the simplest si…

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…

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

WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities

Explicit evaluation of the Stokes matrices for certain quantum confluent hypergeometric equations

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