Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights

DOI10.1155/IMRP/2006/62815zbMath1112.33010arXivmath/0601306MaRDI QIDQ3421209

A. H. Vartanian, Kenneth T.-R. McLaughlin, Xin Zhou

Publication date: 12 February 2007

Published in: International Mathematics Research Papers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601306

zbMATH Keywords

linear spaceorthonormal Laurent polynomialsmatrix Riemann-Hilbert problemasymptotic in the double scaling limitHankel determinant ratiosinner product with varying exponential weightssteepest-descendent methodstrong moment sequence

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Other special orthogonal polynomials and functions (33C47)

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