Fourier Series and Orthogonal Polynomials

by Dunham Jackson

Overview

This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Starting with a definition and explanation of the elements of Fourier series, the text follows with examinations of Legendre polynomials and Bessel functions. Boundary value problems consider Fourier series in conjunction with Laplace's equation in an infinite strip and in a rectangle, with a vibrating string, in three dimensions, in a sphere, and in other circumstances. An overview of Pearson frequency functions is followed by chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, and the text concludes with a chapter on convergence. 1941 edition.

Product Details

ISBN-13:	9780486154503
Publisher:	Dover Publications
Publication date:	03/30/2012
Series:	Dover Books on Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	256
File size:	11 MB
Note:	This product may take a few minutes to download.

Table of Contents

I. Fourier Series
II. Legendre Polynomials
III. Bessel Functions
IV. Boundary Value Problems
V. Double Series; Laplace Series
VI. The Pearson Frequency Functions
VII. Orthogonal Polynomials
VIII. Jacobi Polynomials
IX. Hermite Polynomials
X. Laguerre Polynomials
XI. Convergence
Exercises
Bibliography
Index