Conversion of a power to a series of Chebyshev polynomials
- 1 March 1964
- journal article
- Published by Association for Computing Machinery (ACM) in Communications of the ACM
- Vol. 7 (3) , 181-182
- https://doi.org/10.1145/363958.363998
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.Keywords
This publication has 3 references indexed in Scilit:
- Report on the algorithmic language ALGOL 60Communications of the ACM, 1960
- Non‐linear Transformations of Divergent and Slowly Convergent SequencesJournal of Mathematics and Physics, 1955
- Trigonometric Interpolation of Empirical and Analytical FunctionsJournal of Mathematics and Physics, 1938