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21—30 of 831 matching pages
21: 28.16 Asymptotic Expansions for Large
22: 5.17 Barnes’ -Function (Double Gamma Function)
23: Bibliography Z
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Algorithm 985: Simple, Efficient, and Relatively Accurate Approximation for the Evaluation of the Faddeyeva Function.
ACM Trans. Math. Softw. 44 (2), pp. 22:1–22:9.
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The Dilogarithm Function in Geometry and Number Theory.
In Number Theory and Related Topics (Bombay, 1988), R. Askey and others (Eds.),
Tata Inst. Fund. Res. Stud. Math., Vol. 12, pp. 231–249.
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Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials.
Proc. London Math. Soc. (3) 65 (1), pp. 1–22.
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The computation of the smaller coefficients of
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Bull. Amer. Math. Soc. 45 (12), pp. 917–919.
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Tables of the Legendre functions . Part I.
Translated by D. E. Brown. Mathematical Tables Series, Vol.
22, Pergamon Press, Oxford.
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24: 18.41 Tables
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►Abramowitz and Stegun (1964, Tables 22.4, 22.6, 22.11, and 22.13) tabulates , , , and for .
The ranges of are for and , and for and .
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25: 28.26 Asymptotic Approximations for Large
26: Bibliography G
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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Fourier transforms related to a root system of rank 1.
Transform. Groups 12 (1), pp. 77–116.
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The solutions of Painlevé’s fifth equation.
Differ. Uravn. 12 (4), pp. 740–742 (Russian).
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One-parameter systems of solutions of Painlevé equations.
Differ. Uravn. 14 (12), pp. 2131–2135 (Russian).
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Algorithm 300: Coulomb wave functions.
Comm. ACM 10 (4), pp. 244–245.
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27: 3.4 Differentiation
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►The Lagrange -point formula is
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►where and .
►For the values of and used in the formulas below
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►With the choice (which is crucial when is large because of numerical cancellation) the integrand equals at the dominant points , and in combination with the factor in front of the integral sign this gives a rough approximation to .
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