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21—30 of 144 matching pages
21: Bibliography S
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On integral representations for Lamé and other special functions.
SIAM J. Math. Anal. 11 (4), pp. 702–723.
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The Laplace transforms of products of Airy functions.
Dirāsāt Ser. B Pure Appl. Sci. 19 (2), pp. 7–11.
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A simple approach to asymptotic expansions for Fourier integrals of singular functions.
Appl. Math. Comput. 216 (11), pp. 3378–3385.
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Représentation asymptotique de la solution générale de l’équation de Mathieu-Hill.
Acad. Roy. Belg. Bull. Cl. Sci. (5) 51 (11), pp. 1415–1446.
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Exact error terms in the asymptotic expansion of a class of integral transforms. I. Oscillatory kernels.
SIAM J. Math. Anal. 11 (5), pp. 828–841.
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22: 34.7 Basic Properties: Symbol
23: 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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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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24: Bibliography C
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Note on Nörlund’s polynomial
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Proc. Amer. Math. Soc. 11 (3), pp. 452–455.
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The fourth Painlevé equation and associated special polynomials.
J. Math. Phys. 44 (11), pp. 5350–5374.
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Further formulas for calculating approximate values of the zeros of certain combinations of Bessel functions.
IEEE Trans. Microwave Theory Tech. 11 (6), pp. 546–547.
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Validated computation of certain hypergeometric functions.
ACM Trans. Math. Software 38 (2), pp. Art. 11, 20.
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Exact elliptic compactons in generalized Korteweg-de Vries equations.
Complexity 11 (6), pp. 30–34.
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25: Bibliography M
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Rational solutions of the Painlevé VI equation.
J. Phys. A 34 (11), pp. 2281–2294.
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Calculation of the complete elliptic integrals with complex modulus.
Numer. Math. 29 (2), pp. 233–236.
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Stirling numbers of the second kind.
Duke Math. J. 25 (1), pp. 29–43.
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Spheroidal eigenfunctions of the tidal equation.
Phys. Rev. Lett. 73 (11), pp. 1557–1560.
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Zeros of the function
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Differential Equations 11, pp. 797–811.
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26: 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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27: Bibliography O
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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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28: 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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29: 34.9 Graphical Method
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►For specific examples of the graphical method of representing sums involving the , and symbols, see Varshalovich et al. (1988, Chapters 11, 12) and Lehman and O’Connell (1973, §3.3).