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math-ph2013★ 2 cited
Painlevé I double scaling limit in the cubic random matrix model
Pavel M. Bleher, Alfredo Deaño
We obtain the double scaling asymptotic behavior of the recurrence coefficients and the partition function at the critical point of the Hermitian random matrix model wi…
math.CA2013★ 1 cited
Strong and ratio asymptotics for Laguerre polynomials revisited
Alfredo Deaño, Edmundo J. Huertas, Francisco Marcellán
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plane. The leading behavior is well known from Perron and Mehler-Heine formulas, but…