Fourier Series and Orthogonal Polynomials

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Fourier Series and Orthogonal Polynomials by Dunham Jackson, Dover Publications
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Author: Dunham Jackson ISBN: 9780486154503
Publisher: Dover Publications Publication: April 27, 2012
Imprint: Dover Publications Language: English
Author: Dunham Jackson
ISBN: 9780486154503
Publisher: Dover Publications
Publication: April 27, 2012
Imprint: Dover Publications
Language: English

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.

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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.

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