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1—10 of 879 matching pages
1: Bibliography T
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Coulomb functions with complex angular momenta.
Comput. Phys. Comm. 17 (4), pp. 351–355.
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Une nouvelle représentation explicite des nombres d’Euler.
C. R. Acad. Sci. Paris Sér. A-B 286 (19), pp. A807–A809.
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Rational Chebyshev approximation for the Fermi-Dirac integral
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Solid–State Electronics 41 (5), pp. 771–773.
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Further comments on the computation of modified Bessel function ratios.
Math. Comp. 35 (151), pp. 937–939.
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Sul comportamento asintotico dell’-esimo polinomio di Laguerre nell’intorno dell’ascissa
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Comment. Math. Helv. 22, pp. 150–167.
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2: 6 Exponential, Logarithmic, Sine, and
Cosine Integrals
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3: 7 Error Functions, Dawson’s and Fresnel Integrals
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4: 27 Functions of Number Theory
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5: Bibliography K
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Numerical Methods and Software.
Prentice Hall, Englewood Cliffs, N.J..
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Special Functions and Perturbations of Black Holes.
In Special Functions (Hong Kong, 1999),
pp. 140–151.
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Comment on “The incomplete beta function law for parallel tempering sampling of classical canonical systems” [J. Chem. Phys. 120, 4119 (2004)].
J. Chem. Phys. 121 (2), pp. 1167.
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A Program for Computing the Conical Functions of the First Kind for and
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Comput. Phys. Comm. 23 (1), pp. 51–61.
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Sur le problème de la rotation d’un corps solide autour d’un point fixe.
Acta Math. 12 (1), pp. 177–232 (French).
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6: 7.24 Approximations
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Cody et al. (1970) gives minimax rational approximations to Dawson’s integral (maximum relative precision 20S–22S).
Luke (1969b, pp. 323–324) covers and for (the Chebyshev coefficients are given to 20D); and for (the Chebyshev coefficients are given to 20D and 15D, respectively). Coefficients for the Fresnel integrals are given on pp. 328–330 (20D).
7: Bibliography S
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On an identity of Ramanujan based on the hypergeometric series
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J. Number Theory 69 (2), pp. 125–134.
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Répartition du courant alternatif dans un conducteur cylindrique de section elliptique.
Acad. Roy. Belg. Bull. Cl. Sci. (5) 53 (8), pp. 861–878.
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About von Staudt congruences for Bernoulli numbers.
Comment. Math. Univ. St. Paul. 48 (2), pp. 137–144.
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Some comments on Fourier analysis, uncertainty and modeling.
SIAM Rev. 25 (3), pp. 379–393.
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On the relative extrema of ultraspherical polynomials.
Boll. Un. Mat. Ital. (3) 5, pp. 125–127.
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8: 14.32 Methods of Computation
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►Essentially the same comments that are made in §15.19 concerning the computation of hypergeometric functions apply to the functions described in the present chapter.
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9: 7.22 Methods of Computation
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►The methods available for computing the main functions in this chapter are analogous to those described in §§6.18(i)–6.18(iv) for the exponential integral and sine and cosine integrals, and similar comments apply.
Additional references are Matta and Reichel (1971) for the application of the trapezoidal rule, for example, to the first of (7.7.2), and Gautschi (1970) and Cuyt et al. (2008) for continued fractions.
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