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

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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… Click to show full 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.

Keywords: forming nikishin; pair functions; functions forming; equilibrium problem; nikishin system; vector

Journal Title: Mathematical Notes
Year Published: 2019

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