Orthogonal Functions, Orthogonal Polynomials, and Orthogonal Wavelets series expansions of function - Maple Application Center
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Orthogonal Functions, Orthogonal Polynomials, and Orthogonal Wavelets series expansions of function

Author
: Sergey Moiseev
Engineering software solutions from Maplesoft
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The worksheet includes all the best known continuous orthogonal series expansions in the closed form. It demonstrates the use of Maple to evaluate expansion of a function by Fourier, Hartley, Fourier-Bessel, Orthogonal Rational Tangent, Rectangular, Haar Wavelet, Walsh, Slant, Piece-Linear-Quadratic, Associated Legandre, Orthogonal Rational, Generalized sinc, Sinc, Sinc Wavelet, Jacobi, Chebyshev first kind, Chebyshev second kind, Gegenbauer, Generalized Laguerre, Laguerre, Hermite, and classical polynomials orthogonal series. Also the worksheet demonstrates how to create new orthonormal basis of functions by using the Gram-Schmidt orthogonalization process by the example of Slant, and Piece-Linear-Quadratic orthonormal functions creating.

Application Details

Publish Date: February 18, 2009
Created In: Maple 12
Language: English

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