Hermite-Pade approximants for meromorphic functions on a compact Riemann surface

被引：15

作者：

Komlov, A. V. ^{[1
]}

Palvelev, R. V. ^{[1
]}

Suetin, S. P. ^{[1
]}

Chirka, E. M. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2017年 / 72卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

rational approximants; Hermite-Pade polynomials; distribution of zeros; convergence in capacity; POLYNOMIALS; ZEROS; CONVERGENCE; ASYMPTOTICS; SYSTEMS; PAIR;

D O I：

10.1070/RM9786

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of the limiting distribution of the zeros and the asymptotic behaviour of the Hermite-Pade polynomials of the first kind is considered for a system of germs [1, f(1,infinity),..., f(m,infinity)] of meromorphic functions f(j), j = 1,..., m, on an (m+1)-sheeted Riemann surface R. Nuttall's approach to the solution of this problem, based on a particular 'Nuttall' partition of R into sheets, is further developed.

引用

页码：671 / 706

页数：36

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