Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions

2024/04/22 by Aptekarev, A. I., Denisov, S. A., Yattselev, M. L.
#42C05 #47A10 #47B36 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.14391

Abstract

In this work, we establish strong asymptotics of multiple orthogonal polynomials of the second type for Angelesco systems with measures that satisfy Szegő conditions. We consider multi-indices that converge to infinity in the non-marginal directions.

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