Geodesic
On equilibrium problems related to the distribution of zeros of the Hermite--Pad\'e polynomials
Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 272-279

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We study two potential-theory equilibrium problems that arise naturally in the theory of the limit distribution of zeros of the Hermite–Padé polynomials. We analyze the relationship between these problems and prove that the equilibrium measure for one of the problems is the balayage of the equilibrium measure for the other problem. 
@article{TRSPY_2015_290_a21,
     author = {V. I. Buslaev and S. P. Suetin},
     title = {On equilibrium problems related to the distribution of zeros of the {Hermite--Pad\'e} polynomials},
     journal = {Informatics and Automation},
     pages = {272--279},
     publisher = {mathdoc},
     volume = {290},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a21/}
}
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V. I. Buslaev; S. P. Suetin. On equilibrium problems related to the distribution of zeros of the Hermite--Pad\'e polynomials. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 272-279. http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a21/