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Seminar on Complex Analysis (Gonchar Seminar)
September 18, 2017 17:00–18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)

On the limit zero distribution of Hermite–Padé polynomials for a pair of functions which form an Angelesco system

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: It is discussed in the talk the problem of limit zero distribution of type I Hermite–Padé polynomials for the collection of three functions $[1,f_1,f_2]$ when
$$f_1(z):=\frac1{\sqrt{(z-a_1)(z-b_1)}}, \quad f_2(z):=\frac1{\sqrt{(z-a_2)(z-b_2)}}$$
and under the assumption that $\{a_1,b_1\}\cap\{a_2,b_2\}=\varnothing$.