Conversion of a power to a series of Chebyshev polynomials

Authors:
Henry C. Thacher, Jr.
Affiliations:
Argonne National Laboratory, Argonne, IL
Venue:
Communications of the ACM
Year:
1964

Citing 1
Cited 2

Report on the algorithmic language ALGOL 60

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A Survey of Methods of Computing Minimax and Near-Minimax Polynomial Approximations for Functions of a Single Independent Variable

Journal of the ACM (JACM)
Stable Computations with Gaussian Radial Basis Functions

SIAM Journal on Scientific Computing

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Abstract

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.