Asymptotics of the zeros of relativistic hermite polynomials

被引：2

作者：

He, M

Pan, K

Ricci, PE

机构：

[1] BARRY UNIV,DEPT MATH & COMP SCI,MIAMI SHORES,FL 33161

[2] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT G CASTELNUOVO,I-00185 ROME,ITALY

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1997年 / 28卷 / 05期

关键词：

hermite polynomials; orthogonal polynomials;

D O I：

10.1137/S003614109529642X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The relativistic Hermite polynomial (RHP) is a class of orthogonal polynomials associated with varying weights. We study the asymptotics of the zeros of the RHP when both degree n of polynomials and relativistic parameter N approach infinity.

引用

页码：1248 / 1257

页数：10

共 50 条

[41] Zeros and ratio asymptotics for matrix orthogonal polynomials
Steven Delvaux
Holger Dette
[J]. Journal d'Analyse Mathématique, 2012, 118 : 657 - 690
[42] Asymptotics for the ratio and the zeros of multiple Charlier polynomials
Ndayiragije, Francois
Van Assche, Walter
[J]. JOURNAL OF APPROXIMATION THEORY, 2012, 164 (06) : 823 - 840
[43] ALGEBRA OF CERTAIN MATRICES RELATED TO THE ZEROS OF HERMITE POLYNOMIALS
BRUSCHI, M
[J]. LETTERE AL NUOVO CIMENTO, 1979, 24 (14): : 509 - 512
[44] THE ENERGY FUNCTION WITH RESPECT TO THE ZEROS OF THE EXCEPTIONAL HERMITE POLYNOMIALS
gota P.HORVTH
[J]. Acta Mathematica Scientia, 2017, (05) : 1483 - 1496
[45] THE ENERGY FUNCTION WITH RESPECT TO THE ZEROS OF THE EXCEPTIONAL HERMITE POLYNOMIALS
Horvath, Agota P.
[J]. ACTA MATHEMATICA SCIENTIA, 2017, 37 (05) : 1483 - 1496
[46] STRIPS AND HYPERBOLAS FOR ZEROS OF POLYNOMIALS IN TERMS OF THEIR HERMITE EXPANSION
Bonciocat, Nicolae Ciprian
Cipu, Mihai
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (02): : 271 - 288
[47] ASYMPTOTICS FOR THE ZEROS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH INFINITE INTERVALS
MATE, A
NEVAI, P
TOTIK, V
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1986, 33 : 303 - 310
[48] Zeros of Jensen polynomials and asymptotics for the Riemann xi function
Cormac O’Sullivan
[J]. Research in the Mathematical Sciences, 2021, 8
[49] Asymptotics of zeros of polynomials arising from rational integrals
Dimitrov, DK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (01) : 127 - 132
[50] Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs
Alfaro, M
Moreno-Balcázar, JJ
Pérez, TE
Piñar, MA
Rezola, ML
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 133 (1-2) : 141 - 150

← 1 2 3 4 5 →