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Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight

Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight

We study polynomials that are orthogonal with respect to the modified Laguerre weight z − n +ν e − Nz ( z − 1) 2 b , in the limit where n , N →∞ with N / n → 1 and ν is a fixed number in . With …