Fourier Series and Orthogonal Polynomials

58df16740ed54.jpg Author Dunham Jackson
Isbn 9780486438085
File size 25.8MB
Year 2004
Pages 254
Language English
File format PDF
Category Mathematics

Book Description:

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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