Ratio asymptotic of Hermite-Pade orthogonal polynomials for Nikishin systems.: II

被引：13

作者：

Lopez Garcia, Abey ^{[1
]}

Lopez Lagomasino, Guillermo ^{[1
]}

机构：

[1] Univ Carlos III Madrid, Dpto Math, Madrid 28911, Spain

来源：

ADVANCES IN MATHEMATICS | 2008年 / 218卷 / 04期

关键词：

Hermite-Pade orthogonal polynomials; multiple orthogonal polynomials; Nikishin systems; varying measures; ratio asymptotic;

D O I：

10.1016/j.aim.2008.02.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures N(sigma(l),..., sigma(m)) such that for each k, sigma(k) has constant sign on its support consisting on an interval Delta(k), on which vertical bar sigma(')(k) vertical bar > 0 almost everywhere, and a set without accumulation points in R\ Delta(k). 2008 Published by Elsevier Inc.

引用

页码：1081 / 1106

页数：26

共 50 条

[1] Ratio asymptotics of Hermite-Pade polynomials for Nikishin systems
Aptekarev, AI
Lagomasino, GL
Rocha, IA
[J]. SBORNIK MATHEMATICS, 2005, 196 (7-8) : 1089 - 1107
[2] ASYMPTOTIC FORM OF HERMITE-PADE POLYNOMIALS
BAUMEL, RT
GAMMEL, JL
NUTTALL, J
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 1981, 27 (03) : 335 - 357
[3] Distribution of the zeros of Hermite-Pade polynomials for a complex Nikishin system
Suetin, S. P.
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2018, 73 (02) : 363 - 365
[4] HERMITE-PADE APPROXIMATION FOR NIKISHIN SYSTEMS OF ANALYTIC-FUNCTIONS
BUSTAMANTE, Z
LAGOMASINO, GL
[J]. RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1994, 77 (02) : 367 - 384
[5] HERMITE-PADE APPROXIMATIONS FOR NIKISHIN SYSTEMS AND THE IRRATIONALITY OF ZETA(3)
SOROKIN, VN
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1994, 49 (02) : 176 - 177
[6] Generalized Hermite-Pade approximation for Nikishin systems of three functions
Fidalgo Prieto, U.
Lopez Lagomasino, G.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (06) : 1525 - 1533
[7] Rate of convergence of generalized Hermite-Pade approximants of Nikishin systems
Prieto, UF
Lagomasino, GL
[J]. CONSTRUCTIVE APPROXIMATION, 2006, 23 (02) : 165 - 196
[8] The distribution of the zeros of the Hermite-Pade polynomials for a pair of functions forming a Nikishin system
Rakhmanov, E. A.
Suetin, S. P.
[J]. SBORNIK MATHEMATICS, 2013, 204 (09) : 1347 - 1390
[9] Asymptotic properties of Hermite-Pade polynomials and Katz points
Suetin, S. P.
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2022, 77 (06) : 1149 - 1151
[10] Asymptotic behaviour of the Hermite-Pade polynomials of the 1st kind for a pair of functions forming a Nikishin system
Rakhmanov, E. A.
Suetin, S. P.
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2012, 67 (05) : 954 - 956

← 1 2 3 4 5 →