Fourier series of orthogonal polynomials

被引：0

作者：

Greene, Nataniel ^{[1
]}

机构：

[1] Kings Community Coll, Dept Math & Comp Sci, 2001 Oriental Blvd, Brooklyn, NY 11235 USA

来源：

RECENT ADVANCES ON APPLIED MATHEMATICS: PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS (MATH '08) | 2008年

关键词：

Fourier series; orthogonal polynomials; Gegenbauer polynomials; Jacobi polynomials; Laguerre polynomials; Hermite polynomials;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Explicit formulas for the Fourier coefficients of the Legendre polynomials can be found in the Bateman Manuscript Project. However, similar formulas for more general classes of orthogonal polynomials do not appear to have been worked out. Here we derive explicit formulas for the Fourier series of Gegenbauer, Jacobi, Laguerre and Hermite polynomials.

引用

页码：247 / +

页数：2

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