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1—10 of 662 matching pages
1: Bibliography H
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The Laplace transform for expressions that contain a probability function.
Bul. Akad. Štiince RSS Moldoven. 1973 (2), pp. 78–80, 93 (Russian).
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Certain integrals that contain a probability function.
Bul. Akad. Štiince RSS Moldoven. 1975 (2), pp. 86–88, 95 (Russian).
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Integrals containing the Fresnel functions and
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Bul. Akad. Štiince RSS Moldoven. 1975 (3), pp. 48–60, 93 (Russian).
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Sums with cylindrical functions that reduce to the probability function and to related functions.
Bul. Akad. Shtiintse RSS Moldoven. 1978 (3), pp. 80–84, 95 (Russian).
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Analytic evaluation of two-center STO electron repulsion integrals via ellipsoidal expansion.
Internat. J. Quantum Chem. 88 (6), pp. 701–734.
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2: Bibliography
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Algorithm 511: CDC 6600 subroutines IBESS and JBESS for Bessel functions and , ,
.
ACM Trans. Math. Software 3 (1), pp. 93–95.
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Algorithm 588. Fast Hankel transforms using related and lagged convolutions.
ACM Trans. Math. Software 8 (4), pp. 369–370.
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Special Functions.
Encyclopedia of Mathematics and its Applications, Vol. 71, Cambridge University Press, Cambridge.
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Congruences for the -secant numbers.
European J. Combin. 1 (4), pp. 283–287.
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Spectrum line profiles: The Voigt function.
J. Quant. Spectrosc. Radiat. Transfer 7, pp. 61–88.
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3: 3.9 Acceleration of Convergence
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►For further information on the epsilon algorithm see Brezinski and Redivo Zaglia (1991, pp. 78–95).
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Table 3.9.1: Shanks’ transformation for .
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4 | 0.82221 76684 88 | 0.82246 28314 41 | 0.82246 69467 93 | 0.82246 70314 36 | 0.82246 70333 75 |
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8 | 0.82243 73137 33 | 0.82246 67719 32 | 0.82246 70301 49 | 0.82246 70333 73 | 0.82246 70334 23 |
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10 | 0.82245 30535 15 | 0.82246 69397 57 | 0.82246 70324 88 | 0.82246 70334 12 | 0.82246 70334 24 |
4: Bibliography K
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A proof of the -Macdonald-Morris conjecture for
.
Mem. Amer. Math. Soc. 108 (516), pp. vi+80.
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Pascal program for generating tables of Clebsch-Gordan coefficients.
Comput. Phys. Comm. 85 (1), pp. 82–88.
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Linear convergence and the bisection algorithm.
Amer. Math. Monthly 93 (1), pp. 48–51.
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Special functions and the Bieberbach conjecture.
Amer. Math. Monthly 95 (8), pp. 689–696.
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Some special cases of the generalized hypergeometric function
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J. Comput. Appl. Math. 78 (1), pp. 79–95.
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5: Bibliography U
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On Kelvin’s ship-wave pattern.
J. Fluid Mech. 8 (3), pp. 418–431.
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Integrals with a large parameter: Legendre functions of large degree and fixed order.
Math. Proc. Cambridge Philos. Soc. 95 (2), pp. 367–380.
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6: 29.7 Asymptotic Expansions
7: 33.16 Connection Formulas
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§33.16(i) and in Terms of and
… ►where is given by (33.2.5) or (33.2.6). ►§33.16(ii) and in Terms of and when
… ►and again define by (33.14.11) or (33.14.12). … ►and again define by (33.14.11) or (33.14.12). …8: Bibliography O
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Hyperterminants. II.
J. Comput. Appl. Math. 89 (1), pp. 87–95.
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Uniform asymptotic expansions for hypergeometric functions with large parameters. III.
Analysis and Applications (Singapore) 8 (2), pp. 199–210.
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Connection formulas for second-order differential equations with multiple turning points.
SIAM J. Math. Anal. 8 (1), pp. 127–154.
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On an asymptotic expansion of a ratio of gamma functions.
Proc. Roy. Irish Acad. Sect. A 95 (1), pp. 5–9.
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Numerical evaluation of the dilogarithm of complex argument.
Celestial Mech. Dynam. Astronom. 62 (1), pp. 93–98.
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9: Bibliography T
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LSFBTR: A subroutine for calculating spherical Bessel transforms.
Comput. Phys. Comm. 30 (1), pp. 93–99.
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Some definite integrals and Fourier series for Jacobian elliptic functions.
Z. Angew. Math. Mech. 49, pp. 95–96.
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A set of algorithms for the incomplete gamma functions.
Probab. Engrg. Inform. Sci. 8, pp. 291–307.
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Bernoulli polynomials old and new: Generalizations and asymptotics.
CWI Quarterly 8 (1), pp. 47–66.
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The lemniscate constants.
Comm. ACM 18 (1), pp. 14–19.
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10: Bibliography M
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On the evaluation of indefinite integrals involving the special functions: Application of method.
Quart. Appl. Math. 13, pp. 84–93.
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Calculation of the modified Bessel functions of the second kind with complex argument.
Math. Comp. 20 (95), pp. 407–412.
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New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function.
Proc. Nat. Acad. Sci. U.S.A. 93 (26), pp. 15004–15008.
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Balanced summation theorems for basic hypergeometric series.
Adv. Math. 131 (1), pp. 93–187.
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On the representation of numbers as a sum of squares.
Quarterly Journal of Math. 48, pp. 93–104.
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