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math.CV2019
Scalar equilibrium problem and the limit distribution of the zeros of Hermite-Padé polynomials of type II
Nikolay R. Ikonomov, Sergey P. Suetin
The existence of the limit distribution of the zeros of Hermite-Padé polynomials of type II for a pair of functions forming a Nikishin system is proved using the scalar equilibrium…
math.CV2019
On the equivalence of the scalar and vector equilibrium problems for a pair of functions forming a Nikishin system
Sergey P. Suetin
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…