Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System

S. P. Suetin

Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 904-916.

Résumé

We prove the equivalence of a vector and a scalar equilibrium problem that naturally arise when studying the limit distribution of zeros of type I Hermite–Padé polynomials for a pair of functions forming a Nikishin system.

Détail

Keywords: Nikishin system, Hermite–Padé polynomials, equilibrium problem, potential theory, Riemann surface.

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