Monotonicity of zeros of Laguerre polynomials

被引：11

作者：

Dimitrov, Dimitar K. ^{[1
]}

Rafaeli, Fernando R. ^{[2
]}

机构：

[1] Univ Estadual Paulista, Dept Ciencias Computacao & Estatistica, IBILCE, Sao Paulo, Brazil

[2] Univ Estadual Campinas, Inst Matemat Estatistica & Computacao Cient, BR-13081970 Campinas, SP, Brazil

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

Zeros; Laguerre polynomials; Monotonicity; ULTRASPHERICAL POLYNOMIALS; ORTHOGONAL POLYNOMIALS; JACOBI-POLYNOMIALS; NUMERICAL BOUNDS; INEQUALITIES;

D O I：

10.1016/j.cam.2009.02.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Denote by X(nk)(alpha), k = 1, ..., n, the zeros of the Laguerre polynomial L(n)((alpha))(X). We establish monotonicity with respect to the parameter at of certain functions involving X(nk)(alpha). As a consequence we obtain sharp upper bounds for the largest zero of L(n)((alpha))(X). (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：699 / 702

页数：4

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