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Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
August 24, 2020 15:00, Moscow, online via Zoom
 


On the generalization of the scalar approach to the problem of a limit distribution of zeros of Hermite-Pade polynomials for a Nikishin system

E. A. Lopatin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract: I will discuss one generalization of the new scalar approach to the problem of a limit distribution of zeros of Hermite-Padé polynomials for a Nikishin system proposed by Sergey Suetin in 2018; it consists in extension of one for the wider class of functions and is formulated in the terminology of the potential problem stated on a Riemann surface of positive genus with respect to the new class of kernels introduced by Evgeniy Chirka in 2019.

Language: English
 
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