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Strong asymptotics for the Pollaczek multiple orthogonal polynomials

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URI: https://hdl.handle.net/10016/23258
ISSN: 1064-5624
DOI: 10.1134/S1064562415060216
UXXI: AR/0000017637
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strong_lagomasino_DM_2015_ps.pdf (574.89 KB)
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2015-11
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Springer
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Abstract
The asymptotic properties of multiple orthogonal polynomials with respect to two Pollaczek weights with different parameters are considered. This set of weights is a Nikishin system generated by two measures with unbounded supports; moreover, the second measure is discrete. During the last years, multiple orthogonal polynomials with respect to Nikishin systems of this type have found wide applications in the theory of random matrices. Strong asymptotic formulas for the polynomials under consideration are obtained by means of the matrix Riemann-Hilbert method.
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Hermite-Pade Approximants, Random Matrices, External Source, Systems
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Doklady Mathematics, November, v. 92, Issue 3, pp. 709-713
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