Computation of Legendre series coefficients

@article{Piessens1974ComputationOL,
  title={Computation of Legendre series coefficients},
  author={R. Piessens},
  journal={Commun. ACM},
  year={1974},
  volume={17},
  pages={25}
}
  • R. Piessens
  • Published 1974
  • Mathematics, Computer Science
  • Commun. ACM
<italic>LEGSER</italic> approximates the first <italic>N</italic> + 1 coefficients <italic>B<subscrpt>n</subscrpt></italic> of the Legendre series expansion of a function ƒ(<italic>x</italic>) having known Chebyshev series coefficients <italic>A<subscrpt>n</subscrpt></italic>. Several algorithms are available for the computation of coefficients <italic>A<subscrpt>n</subscrpt></italic> of the truncated Chebyshev series expansion on [-1, 1] ƒ(<italic>x</italic>) ≃ ∑′<supscrpt><italic>N</italic… Expand
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