Hankel Determinants for a Deformed Laguerre Weight with Multiple Variables and Generalized Painlevé V Equation

Xinyu Mu, Shulin Lyu

We study the Hankel determinant generated by the moments of the deformed Laguerre weight function $x^{\hat{I}}\pm {\mathrm{e}}^{-x}\prod _{k=1}^N(x+t_k{)}^{\hat{I}{»}_k}$, where $x\in \left[0,+\inf…