Derives large-n asymptotics for recurrence coefficients α_n(t), β_n(t), Hankel determinant D_n(t), and related quantities for orthogonal polynomials with weight w(x;t)=x^α e^{-x}(x+t)^λ using ladder operators and Dyson's Coulomb fluid approach, plus long-time asymptotics as t→∞.
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Asymptotics of the Hankel determinant and orthogonal polynomials arising from the information theory of MIMO systems
Derives large-n asymptotics for recurrence coefficients α_n(t), β_n(t), Hankel determinant D_n(t), and related quantities for orthogonal polynomials with weight w(x;t)=x^α e^{-x}(x+t)^λ using ladder operators and Dyson's Coulomb fluid approach, plus long-time asymptotics as t→∞.