Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind

被引：4

作者：

Cvetkovic, Aleksandar S. ^{[1
]}

Matejic, Marjan M. ^{[2
]}

Milovanovic, Gradimir V. ^{[3
,4
]}

机构：

[1] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia

[2] Fac Elect Engn, Dept Math, POB 73, Nish 18000, Serbia

[3] Serbian Acad Arts & Sci, Beograd, Serbia

[4] State Univ Novi Pazar, Novi Pazar, Serbia

来源：

RESULTS IN MATHEMATICS | 2016年 / 69卷 / 3-4期

关键词：

Orthogonal polynomials; Chebyshev measure; Chebyshev polynomials; recurrence relation;

D O I：

10.1007/s00025-016-0529-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given numbers , , and the th-degree monic Chebyshev polynomial of the first kind , the polynomial system "induced" by is the system of orthogonal polynomials corresponding to the modified measure , where is the Chebyshev measure of the first kind. Here we are concerned with the problem of determining the coefficients in the three-term recurrence relation for the polynomials . The desired coefficients are obtained analytically in a closed form.

引用

页码：443 / 455

页数：13

共 7 条

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[2]

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[3]

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[4]

Ghizzetti A., 1970, Quadrature Formulae

[5]

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[6]

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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 127 (1-2) :267-286

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