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18 Orthogonal PolynomialsComputation

§18.41 Tables

  1. §18.41(i) Polynomials
  2. §18.41(ii) Zeros
  3. §18.41(iii) Other Tables

§18.41(i) Polynomials

For Pn(x) (=𝖯n(x)) see §14.33.

Abramowitz and Stegun (1964, Tables 22.4, 22.6, 22.11, and 22.13) tabulates Tn(x), Un(x), Ln(x), and Hn(x) for n=0(1)12. The ranges of x are 0.2(.2)1 for Tn(x) and Un(x), and 0.5,1,3,5,10 for Ln(x) and Hn(x). The precision is 10D, except for Hn(x) which is 6-11S.

§18.41(ii) Zeros

For Pn(x), Ln(x), and Hn(x) see §3.5(v). See also Abramowitz and Stegun (1964, Tables 25.4, 25.9, and 25.10).

§18.41(iii) Other Tables

For tables prior to 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960).