On the Convergence of Multi-Level Hermite-Pade Approximants for a Class of Meromorphic Functions

被引：1

作者：

Ricardo Gonzalez, L. G. ^{[1
]}

Lopez Lagomasino, G. ^{[1
]}

Peralta, S. Medina ^{[2
]}

机构：

[1] Univ Carlos III Madrid, Dept Math, Avda Univ 30,CP 28911, Leganes, Spain

[2] Florida Int Univ, Dept Math & Stat, DM 430,11200 SW 8th St, Miami, FL 33199 USA

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 05期

关键词：

Nikishin system; Multiple orthogonal polynomials; Hermite-Pade approximation; NIKISHIN SYSTEMS;

D O I：

10.1007/s00009-020-01588-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper deals with the convergence properties of multi-level Hermite-Pade approximants for a class of meromorphic functions given by rational perturbations with real coefficients of a Nikishin system of functions, and study the zero location of the corresponding multiple orthogonal polynomials.

引用

页数：19

共 50 条

[1] On the Convergence of Multi-Level Hermite-Pade Approximants for a Class of Meromorphic Functions (vol 17, 149, 2020)
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[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
[2] On the convergence of multi-level Hermite-Pade approximants
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[J]. PHYSICA D-NONLINEAR PHENOMENA, 2022, 440
[3] On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions
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[4] Correction to: On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions
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[J]. Mediterranean Journal of Mathematics, 2021, 18
[5] HERMITE-PADE APPROXIMANTS TO FUNCTIONS MEROMORPHIC ON A RIEMANN SURFACE
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[10] SOME CONVERGENCE AND DIVERGENCE THEOREMS FOR HERMITE-PADE APPROXIMANTS
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