3 problems

Let $T$ be a degenerate exactly-solvable operator, and let $\{q_n\}$ be a family of appropriately scaled eigenpolynomials. Let $\Xi_T$ be the support of the limiting root measure o…

Let $T=csum_{j=1}^{k}Q_jD^j$ be a degenerate exactly-solvable operator of order $k$, and let $j_0$ be the largest $j$ for which $\deg Q_j=j$. Let $p_n$ be its monic eigenpolynomial…

Let $T_{\lambda}$ be a pencil of general type with polynomial eigenfunctions $p_{n,j}(z)$ and eigenvalues $\lambda_{n,j}$, and let $\Psi_j$ be the limiting functions from Theorem.…