Email this article On a New Approach to the Problem of Distribution of Zeros of Hermite—Padé Polynomials for a Nikishin System
- Authors: Suetin S.P.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 301, No 1 (2018)
- Pages: 245-261
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175590
- DOI: https://doi.org/10.1134/S0081543818040193
- ID: 175590
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Abstract
A new approach to the problem of the zero distribution of type I Hermite—Padé polynomials for a pair of functions f1, f2 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.
About the authors
S. P. Suetin
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: suetin@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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