Orthogonal polynomials in the normal matrix model with two insertions

Mario Kieburg, Arno B. J. Kuijlaars, Sampad Lahiry

We consider orthogonal polynomials with respect to the weight $|z^2+a^2{|}^{cN}{e}^{-N|z{|}^2}$ in the whole complex plane. We obtain strong asymptotics and the limiting normalized zero…