Numerical Investigation of Basic Fourier Series
Our main objective in this chapter is to discuss several computational aspects of the theory of basic Fourier series. This includes numerical evaluation of the zeros of basic trigonometric functions, study of their bounds and asymptotics, and numerical examples demonstrating convergence of the q-Fourier series. Most of this material appeared in our joint paper with Bill Gosper , who wrote the special Macsyma program “namesum” for numerical evaluation of infinite sums and infinite products.
KeywordsNumerical Investigation Summation Formula Orthogonality Relation Positive Zero Infinite Product
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