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7 matching pages
1: Bibliography M
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Rational approximations, software and test methods for sine and cosine integrals.
Numer. Algorithms 12 (3-4), pp. 259–272.
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Algorithm 779: Fermi-Dirac functions of order , , ,
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ACM Trans. Math. Software 24 (1), pp. 1–12.
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Algorithm 149: Complete elliptic integral.
Comm. ACM 5 (12), pp. 605.
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Precise Coulomb wave functions for a wide range of complex , and
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Computer Physics Communications 176 (3), pp. 232–249.
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The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
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2: 6.16 Mathematical Applications
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►The first maximum of for positive occurs at and equals ; compare Figure 6.3.2.
Hence if and , then the limiting value of overshoots by approximately 18%.
Similarly if , then the limiting value of undershoots by approximately 10%, and so on.
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3: Bibliography F
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Algorithm 838: Airy functions.
ACM Trans. Math. Software 30 (4), pp. 491–501.
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Sur certaines sommes des intégral-cosinus.
Bull. Soc. Math. Phys. Serbie 12, pp. 13–20 (French).
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Tables of Elliptic Integrals of the First, Second, and Third Kind.
Technical report
Technical Report ARL 64-232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio.
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On weighted polynomial approximation on the whole real axis.
Acta Math. Acad. Sci. Hungar. 20, pp. 223–225.
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4: 22.3 Graphics
5: Bibliography G
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Algorithm 236: Bessel functions of the first kind.
Comm. ACM 7 (8), pp. 479–480.
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Algorithm 363: Complex error function.
Comm. ACM 12 (11), pp. 635.
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Algorithm 471: Exponential integrals.
Comm. ACM 16 (12), pp. 761–763.
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Algorithm 521: Repeated integrals of the coerror function.
ACM Trans. Math. Software 3, pp. 301–302.
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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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6: Bibliography L
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Algorithm 917: complex double-precision evaluation of the Wright function.
ACM Trans. Math. Software 38 (3), pp. Art. 20, 17.
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An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
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Optimal cylindrical and spherical Bessel transforms satisfying bound state boundary conditions.
Comput. Phys. Comm. 99 (2-3), pp. 297–306.
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Algorithm 344: Student’s t-distribution [S14].
Comm. ACM 12 (1), pp. 37–38.
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Algorithm 244: Fresnel integrals.
Comm. ACM 7 (11), pp. 660–661.
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7: Bibliography D
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On the computation of Mathieu functions.
J. Engrg. Math. 7, pp. 39–61.
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Algorithm 708: Significant digit computation of the incomplete beta function ratios.
ACM Trans. Math. Software 18 (3), pp. 360–373.
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Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
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Algorithm 322. F-distribution.
Comm. ACM 11 (2), pp. 116–117.
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Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
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