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Home/Magazine Archive/March 1964 (Vol. 7, No. 3)/Conversion of a power to a series of Chebyshev polynomials/Abstract

Conversion of a power to a series of Chebyshev polynomials

By Henry C. Thacher
Communications of the ACM, March 1964, Vol. 7 No. 3, Pages 181-182
10.1145/363958.363998
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Even slowly convergent power series can be rearranged as series in Chebyshev polynomials if appropriate sequence transformations are used in evaluating the coefficients. The method is illustrated by computing the coefficients for the expansion of the logarithm and dilogarithm.

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