Bertola, M.; Tovbis, A.
(Symmetry, Integrability and Geometry: Methods and Applications, 2016)
We study the asymptotics of recurrence coefficients for monic orthogonal polynomials πn(z) with the quartic exponential weight exp[−N(1/2z²+1/4tz⁴)], where t∈C and N∈N, N→∞. Our goal is to describe these asymptotic behaviors ...