On the equivalence of the scalar and vector equilibrium problems for a pair of functions forming a Nikishin system

2019/06/11 by Sergey Pavlovich Suetin, Suetin, Sergey P.
Mathematics · #Advanced Mathematical Identities #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1906.04626

openalex publication_date 2019/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the equivalence of the vector and scalar equilibrium problems which arise naturally in the study of the limit zeros distribution of type I Hermite--Padé polynomials for a pair of functions forming a Nikishin system.

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