Painlevé VI and Hankel determinants for the generalized Jacobi Weight

Dan Dai, Lun Zhang

We study the Hankel determinant of the generalized Jacobi weight $(x-t{)}^{\gamma }{x}^{\alpha }(1-x{)}^{\beta }$ for $x\in [0,1]$ with $\alpha ,\beta >0$, $t<0$ and $\gamma \in \mathbb{R}$. Based on the ladder operators for…