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


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Abstract

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.

About the authors

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: suetin@mi-ras.ru
Russian Federation, Moscow, 119991

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