Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions

Julius Borcea, Rikard Bøgvad, Boris Shapiro

Consider a homogenized spectral pencil of exactly solvable linear differential operators $T_{\la}=\sum_{i=0}^k Q_{i}(z)\la^{k-i}\frac {d^i}{dz^i}$, where each $Q_i(z)$ is a polyn…