

Seminar on Complex Analysis (Gonchar Seminar)
September 18, 2017 17:00, 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

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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
$$
f_1(z):=\frac1{\sqrt{(za_1)(zb_1)}},
\quad
f_2(z):=\frac1{\sqrt{(za_2)(zb_2)}}
$$
and under the assumption that $\{a_1,b_1\}\cap\{a_2,b_2\}=\varnothing$.

