3 problems

Let $T$ be a degenerate exactly-solvable differential operator of order $k$, and let $p_n$ be its degree-$n$ eigenpolynomial. Write $r_n$ for the largest modulus of the roots of…

Conjecture 11. Then

Let $\mathfrak d(z)$ be an exactly solvable operator, and let $\{S_n(z)\}_{n\in\mathbb N,\,n\geq n_0}$ be its eigenpolynomials with $\deg S_n(z)=n$. Let $\mathfrak S_\mu$ denote th…