Fourier Series and Orthogonal Polynomials

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Courier Dover Publications, 2004 - Mathematics - 234 pages
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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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Contents

I
1
II
45
III
69
IV
91
V
115
VI
142
VII
149
VIII
166
IX
176
X
184
XI
191
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