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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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MathReview, ZentralBlatt

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§24.6.

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Iterative Methods for the Solution of Equations. Prentice-Hall Series in Automatic Computation, Prentice-Hall Inc., Englewood Cliffs, N.J..

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MathReview (W. C. Rheinboldt), ZentralBlatt

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§3.8(iii).

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Rational Chebyshev approximation for the Fermi-Dirac integral $F_{-3/2}(x)$ . Solid–State Electronics 41 (5), pp. 771–773.

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§25.21(vii).

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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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ISSN 0025-5718, FullText, Document, MathReview (James M. Horner), ZentralBlatt

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§10.74(v).

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Sul comportamento asintotico dell’$n$-esimo polinomio di Laguerre nell’intorno dell’ascissa $4n$ . Comment. Math. Helv. 22, pp. 150–167.

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ISSN 0010-2571, Document, MathReview (G. Szegő), ZentralBlatt

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§18.16(iv).

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5: Bibliography K

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An indirect method for evaluating certain infinite integrals. Z. Angew. Math. Phys. 29 (3), pp. 380–386.

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ISSN 0044-2275, Document, MathReview, ZentralBlatt

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§10.71(ii).

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Dark optical solitons: Physics and applications. Physics Reports 298 (2-3), pp. 81–197.

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§22.19(iii).

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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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§8.24(ii).

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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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ISSN 0001-5962, Document, MathReview Entry, ZentralBlatt

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§22.19(iv).

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A Handbook of Methods of Approximate Fourier Transformation and Inversion of the Laplace Transformation. Mir, Moscow.

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Translated from the Russian by George Yankovsky. Reprint of the 1977 translation

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MathReview, ZentralBlatt

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§3.5(viii).

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6: 6 Exponential, Logarithmic, Sine, and
Cosine Integrals

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7: 7 Error Functions, Dawson’s and Fresnel Integrals

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8: 14.32 Methods of Computation

§14.32 Methods of Computation

►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. In particular, for small or moderate values of the parameters $\mu$ and $\nu$ the power-series expansions of the various hypergeometric function representations given in §§14.3(i)–14.3(iii), 14.19(ii), and 14.20(i) can be selected in such a way that convergence is stable, and reasonably rapid, especially when the argument of the functions is real. In other cases recurrence relations (§14.10) provide a powerful method when applied in a stable direction (§3.6); see Olver and Smith (1983) and Gautschi (1967). ►Other methods include: …

9: 7.22 Methods of Computation

§7.22 Methods of Computation

… ►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. … ►For a comprehensive survey of computational methods for the functions treated in this chapter, see van der Laan and Temme (1984, Ch. V).

10: Bibliography S

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A global Newton method for the zeros of cylinder functions. Numer. Algorithms 18 (3-4), pp. 259–276.

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ISSN 1017-1398, Document, MathReview, ZentralBlatt

Referenced by:

§10.74(vi).

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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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6th item.

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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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ISSN 0010-258X, MathReview (Arnold M. Adelberg), ZentralBlatt

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§24.10(ii).

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Some comments on Fourier analysis, uncertainty and modeling. SIAM Rev. 25 (3), pp. 379–393.

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ISSN 0036-1445, Document, MathReview (H. Vincent Poor), ZentralBlatt

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§30.15(ii), §30.15(iii), §30.15(iv), §30.15(v), §30.15(v).

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On the relative extrema of ultraspherical polynomials. Boll. Un. Mat. Ital. (3) 5, pp. 125–127.

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External Links:

MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§18.14(iii).

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