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11: 27.2 Functions
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Table 27.2.1: Primes.
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5 | 11 | 47 | 97 | 149 | 197 | 257 | 313 | 379 | 439 | 499 |
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9 | 23 | 67 | 109 | 167 | 227 | 277 | 347 | 401 | 461 | 523 |
10 | 29 | 71 | 113 | 173 | 229 | 281 | 349 | 409 | 463 | 541 |
12: Bibliography
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Asymptotic expansions of spheroidal wave functions.
J. Math. Phys. Mass. Inst. Tech. 28, pp. 195–199.
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Complex Analysis: An Introduction of the Theory of Analytic Functions of One Complex Variable.
2nd edition, McGraw-Hill Book Co., New York.
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On the zeros of confluent hypergeometric functions. III. Characterization by means of nonlinear equations.
Lett. Nuovo Cimento (2) 29 (11), pp. 353–358.
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Normal forms of functions in the neighborhood of degenerate critical points.
Uspehi Mat. Nauk 29 (2(176)), pp. 11–49 (Russian).
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Some basic hypergeometric extensions of integrals of Selberg and Andrews.
SIAM J. Math. Anal. 11 (6), pp. 938–951.
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13: Bibliography E
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The penetration of a potential barrier by electrons.
Phys. Rev. 35 (11), pp. 1303–1309.
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Tables of Integral Transforms. Vol. II.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
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Higher Transcendental Functions. Vol. II.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
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Painlevé transcendent describes quantum correlation function of the antiferromagnet away from the free-fermion point.
J. Phys. A 29 (17), pp. 5619–5626.
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Institutiones Calculi Integralis.
Opera Omnia (1), Vol. 11, pp. 110–113.
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14: Bibliography L
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An efficient derivative-free method for solving nonlinear equations.
ACM Trans. Math. Software 11 (3), pp. 250–262.
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Eine Verallgemeinerung der Sphäroidfunktionen.
Arch. Math. 11, pp. 29–39.
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Algorithm 244: Fresnel integrals.
Comm. ACM 7 (11), pp. 660–661.
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On the theory of Painlevé’s third equation.
Differ. Uravn. 3 (11), pp. 1913–1923 (Russian).
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Algorithms for rational approximations for a confluent hypergeometric function.
Utilitas Math. 11, pp. 123–151.
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15: Bibliography K
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Bernstein, Pick, Poisson and related integral expressions for Lambert
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Integral Transforms Spec. Funct. 23 (11), pp. 817–829.
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Auxiliary table for the incomplete elliptic integrals.
J. Math. Physics 27, pp. 11–36.
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Gravitational field of a spinning mass as an example of algebraically special metrics.
Phys. Rev. Lett. 11 (5), pp. 237–238.
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Algorithm 327: Dilogarithm [S22].
Comm. ACM 11 (4), pp. 270–271.
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Fractional integral and generalized Stieltjes transforms for hypergeometric functions as transmutation operators.
SIGMA Symmetry Integrability Geom. Methods Appl. 11, pp. Paper 074, 22.
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16: Bibliography G
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Algorithm 292: Regular Coulomb wave functions.
Comm. ACM 9 (11), pp. 793–795.
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Algorithm 363: Complex error function.
Comm. ACM 12 (11), pp. 635.
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Computing complex Airy functions by numerical quadrature.
Numer. Algorithms 30 (1), pp. 11–23.
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Stirling number representation problems.
Proc. Amer. Math. Soc. 11 (3), pp. 447–451.
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Theory of Painlevé’s equations.
Differ. Uravn. 11 (11), pp. 373–376 (Russian).
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17: 4.17 Special Values and Limits
18: 26.12 Plane Partitions
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Table 26.12.1: Plane partitions.
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6 | 48 | 23 | 2 90783 | 40 | 2818 46923 |
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11 | 859 | 28 | 24 83234 | 45 | 17740 79109 |
12 | 1479 | 29 | 37 59612 | 46 | 25435 35902 |
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26.12.26
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19: Bibliography D
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Sur une classe de nombres rationnels réductibles aux nombres de Bernoulli.
Bull. Sci. Math. (2) 28, pp. 29–32 (French).
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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory.
Comm. Pure Appl. Math. 52 (11), pp. 1335–1425.
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Algorithm 322. F-distribution.
Comm. ACM 11 (2), pp. 116–117.
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Theta functions and non-linear equations.
Uspekhi Mat. Nauk 36 (2(218)), pp. 11–80 (Russian).
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The incomplete beta function—a historical profile.
Arch. Hist. Exact Sci. 24 (1), pp. 11–29.
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20: Bibliography H
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On the distribution of the zeros of generalized Airy functions.
Math. Comp. 29 (131), pp. 863–877.
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Inverse virial symmetry of diatomic potential curves.
J. Chem. Phys. 109 (1), pp. 11–19.
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Error bounds for asymptotic approximations of zeros of Hankel functions occurring in diffraction problems.
J. Mathematical Phys. 11 (8), pp. 2501–2504.
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Algorithm 395: Student’s t-distribution.
Comm. ACM 13 (10), pp. 617–619.
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An explicit formula for Bernoulli numbers.
Rep. Fac. Sci. Technol. Meijo Univ. 29, pp. 1–6.
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