Discontinuity in the asymptotic behavior of planar orthogonal polynomials under a perturbation of the Gaussian weight

Seung-Yeop Lee, Meng Yang

We consider the orthogonal polynomials, $\{P_n(z){\}}_{n=0,1,\cdots }$, with respect to the measure $$|z-a{|}^{2c}{e}^{-N|z{|}^2}dA(z)$$ supported over the whole complex plane, where $a>0$…