Sergey P. Suetin
Published 2018-05-19Version 1
A new approach to the problem of the zero distribution of Hermite-Pad\'e polynomials of type I for a pair of functions $f_1,f_2$ forming a Nikishin system is discussed. Unlike the traditional vector approach, we give an answer in terms of a scalar equilibrium problem with harmonic external field, which is posed on a two-sheeted Riemann surface.
Comments: Bibliography: 50 titles
Scalar equilibrium problem and the limit distribution of the zeros of Hermite-Padé polynomials of type II
High order recurrence relation, Hermite-Padé approximation, and Nikishin systems
Some numerical results on the behavior of zeros of the Hermite-Padé polynomials
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