Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight
Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight
We study the Hankel determinants associated with the weight urn:x-wiley:00222526:media:sapm12090:sapm12090-math-0001 where , , , is analytic in a domain containing [ − 1, 1] and for . In this paper, based on the Deift–Zhou nonlinear steepest descent analysis, we study the double scaling limit of the Hankel determinants as and …