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21—30 of 814 matching pages
21: Bibliography O
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Hyperasymptotic solutions of second-order linear differential equations. I.
Methods Appl. Anal. 2 (2), pp. 173–197.
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Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one.
Proc. Roy. Soc. London Ser. A 454, pp. 1–29.
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Error bounds for stationary phase approximations.
SIAM J. Math. Anal. 5 (1), pp. 19–29.
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Numerical solution of Riemann-Hilbert problems: Painlevé II.
Found. Comput. Math. 11 (2), pp. 153–179.
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Algorithm 22: Riccati-Bessel functions of first and second kind.
Comm. ACM 3 (11), pp. 600–601.
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22: 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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Stirling number representation problems.
Proc. Amer. Math. Soc. 11 (3), pp. 447–451.
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A monotonicity property of the power function of multivariate tests.
Indag. Math. (N.S.) 11 (2), pp. 209–218.
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Theory of Painlevé’s equations.
Differ. Uravn. 11 (11), pp. 373–376 (Russian).
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23: 13.30 Tables
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Žurina and Osipova (1964) tabulates and for , , , 7D or 7S.
Slater (1960) tabulates for , , and , 7–9S; for and , 7D; the smallest positive -zero of for and , 7D.
24: 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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25: 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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26: 24.2 Definitions and Generating Functions
27: Bibliography B
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Transformations of generalized hypergeometric series.
Proc. London Math. Soc. (2) 29 (2), pp. 495–502.
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Evaluation of the incomplete gamma function of imaginary argument by Chebyshev polynomials.
Math. Comp. 15 (73), pp. 7–11.
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Ramanujan’s theories of elliptic functions to alternative bases.
Trans. Amer. Math. Soc. 347 (11), pp. 4163–4244.
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Vortices in Ginzburg-Landau Equations.
In Proceedings of the International Congress of Mathematicians,
Vol. III (Berlin, 1998),
pp. 11–19.
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Rainbow over Woolsthorpe Manor.
Notes and Records Roy. Soc. London 36 (1), pp. 3–11 (1 plate).
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28: Bibliography F
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Tables of Values of the Function for Complex Argument.
Edited by V. A. Fok; translated from the Russian by D. G. Fry.
Mathematical Tables Series, Vol. 11, Pergamon Press, Oxford.
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Polynomial relations in the Heisenberg algebra.
J. Math. Phys. 35 (11), pp. 6144–6149.
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On a unified approach to transformations and elementary solutions of Painlevé equations.
J. Math. Phys. 23 (11), pp. 2033–2042.
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Application of the -function theory of Painlevé equations to random matrices: , the JUE, CyUE, cJUE and scaled limits.
Nagoya Math. J. 174, pp. 29–114.
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Algorithm 435: Modified incomplete gamma function.
Comm. ACM 15 (11), pp. 993–995.
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29: 5.10 Continued Fractions
30: 7.23 Tables
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Abramowitz and Stegun (1964, Chapter 7) includes , , , 10D; , , 8S; , , 7D; , , , 6S; , , 10D; , , 9D; , , , 7D; , , , , 15D.
Zhang and Jin (1996, pp. 637, 639) includes , , , 8D; , , , 8D.
Zhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of , , , 7D and 8D, respectively; the real and imaginary parts of , , , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.
Fettis et al. (1973) gives the first 100 zeros of and (the table on page 406 of this reference is for , not for ), 11S.