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§18.41 Tables

Contents

§18.41(i) Polynomials

For \mathop{P_{{n}}\/}\nolimits\!\left(x\right) (=\mathop{\mathsf{P}_{{n}}\/}\nolimits\!\left(x\right)) see §14.33.

Abramowitz and Stegun (1964, Tables 22.4, 22.6, 22.11, and 22.13) tabulates \mathop{T_{{n}}\/}\nolimits\!\left(x\right), \mathop{U_{{n}}\/}\nolimits\!\left(x\right), \mathop{L_{{n}}\/}\nolimits\!\left(x\right), and \mathop{H_{{n}}\/}\nolimits\!\left(x\right) for n=0(1)12. The ranges of x are 0.2(.2)1 for \mathop{T_{{n}}\/}\nolimits\!\left(x\right) and \mathop{U_{{n}}\/}\nolimits\!\left(x\right), and 0.5,1,3,5,10 for \mathop{L_{{n}}\/}\nolimits\!\left(x\right) and \mathop{H_{{n}}\/}\nolimits\!\left(x\right). The precision is 10D, except for \mathop{H_{{n}}\/}\nolimits\!\left(x\right) which is 6-11S.

§18.41(ii) Zeros

For \mathop{P_{{n}}\/}\nolimits\!\left(x\right), \mathop{L_{{n}}\/}\nolimits\!\left(x\right), and \mathop{H_{{n}}\/}\nolimits\!\left(x\right) 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).

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