Zero's asymptotic distribution of polynomials orthogonal with respect to varying weights

被引：0

作者：

He, MX ^{[1
]}

Natalini, P ^{[1
]}

Ricci, PE ^{[1
]}

机构：

[1] Nova SE Univ, Dept Math, Ft Lauderdale, FL 33314 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1999年 / 202卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the WKB method we found the asymptotic distribution of the zeros of some sets of orthogonal polynomials with respect to varying weights, including the so called relativistic orthogonal polynomials.

引用

页码：183 / 190

页数：8

共 50 条

[41] Orthogonal polynomials based on varying Jacobi-type weights
Vértesi, P
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2001, 38 : 385 - 402
[42] ON ORTHOGONAL POLYNOMIALS WITH RESPECT TO VARYING MEASURES ON THE UNIT-CIRCLE
PAN, K
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 346 (01) : 331 - 340
[43] Asymptotic expansions of recursion coefficients of orthogonal polynomials with truncated exponential weights
Joung, H
NAGOYA MATHEMATICAL JOURNAL, 2002, 165 : 79 - 89
[44] ON ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON THE CIRCLE WITH WEIGHTS NOT SATISFYING SZEGO CONDITION
RAKHMANOV, EA
MATHEMATICS OF THE USSR-SBORNIK, 1986, 130 (1-2): : 149 - 167
[45] Asymptotic zero distribution of a class of hypergeometric polynomials
Driver, K. A.
Johnston, S. J.
QUAESTIONES MATHEMATICAE, 2007, 30 (02) : 219 - 230
[46] Asymptotic zero distribution for a class of extremal polynomials
Diaz Gonzalez, A.
Lopez Lagomasino, G.
Pijeira Cabrera, H.
BULLETIN OF MATHEMATICAL SCIENCES, 2021, 11 (01)
[47] Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality
Mendoza, C. Diaz
Orive, R.
Cabrera, H. Pijeira
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 346 (02) : 480 - 488
[48] Rational Functions with a General Distribution of Poles on the Real Line Orthogonal with Respect to Varying Exponential Weights: I
McLaughlin, K. T. -R.
Vartanian, A. H.
Zhou, X.
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2008, 11 (3-4) : 187 - 364
[49] Rational Functions with a General Distribution of Poles on the Real Line Orthogonal with Respect to Varying Exponential Weights: I
K. T.-R. McLaughlin
A. H. Vartanian
X. Zhou
Mathematical Physics, Analysis and Geometry, 2008, 11 : 187 - 364
[50] Zero Distributions for Polynomials Orthogonal with Weights over Certain Planar Regions
Erwin Miña-Díaz
Edward B. Saff
Nikos S. Stylianopoulos
Computational Methods and Function Theory, 2005, 5 (1) : 185 - 221

← 1 2 3 4 5 →