Geodesic
Riemann-Hilbert analysis for a~Nikishin system
Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 1019-1050

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we give the asymptotic behaviour of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals. We use the Riemann-Hilbert problem for multiple orthogonal polynomials and steepest descent analysis for oscillatory Riemann-Hilbert problems to obtain the asymptotic behaviour in all the relevant regions of the complex plane. Bibliography: 38 titles.
Keywords: Riemann-Hilbert problem, Hermite-Padé approximations, asymptotic.
Mots-clés : multiple orthogonal polynomials 
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     author = {G. L\'opez Lagomasino and W. Van Assche},
     title = {Riemann-Hilbert analysis for {a~Nikishin} system},
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G. López Lagomasino; W. Van Assche. Riemann-Hilbert analysis for a~Nikishin system. Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 1019-1050. http://geodesic.mathdoc.fr/item/SM_2018_209_7_a4/