Study of algorithmic properties of chebyshev coefficients

Abstract
The problem of computing N Chebyshev coefficients is considered when . Two methods are discussed. The first method is related to the Fast Fourier Transform (FFT) and required a total number of operations proportional to N log2 N. The second method, although not as efficient as efficient as the FFT exemplified interesting properties of the discrete Chebyshev polynomials.

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