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11—20 of 539 matching pages
11: 34.7 Basic Properties: Symbol
12: Bibliography Y
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On rational solutions of the second Painlevé equation.
Vesti Akad. Navuk. BSSR Ser. Fiz. Tkh. Nauk. 3, pp. 30–35 (Russian).
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-squared discretizations of the continuum: Radial kinetic energy and the Coulomb Hamiltonian.
Phys. Rev. A 11 (4), pp. 1144–1156.
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Computation of the derivatives of the Riemann zeta-function in the complex domain.
USSR Comput. Math. and Math. Phys. 28 (4), pp. 115–124.
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13: 27.2 Functions
14: 28.6 Expansions for Small
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28.6.2
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28.6.10
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28.6.11
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►For ,
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►For the corresponding expansions of for change to everywhere in (28.6.26).
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15: Bibliography G
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Algorithm 292: Regular Coulomb wave functions.
Comm. ACM 9 (11), pp. 793–795.
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Computing complex Airy functions by numerical quadrature.
Numer. Algorithms 30 (1), pp. 11–23.
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A method for evaluating certain Bessel integrals.
Z. Angew. Math. Phys. 30 (4), pp. 722–723.
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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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16: 30.7 Graphics
17: 30 Spheroidal Wave Functions
Chapter 30 Spheroidal Wave Functions
…18: 25.20 Approximations
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Cody et al. (1971) gives rational approximations for in the form of quotients of polynomials or quotients of Chebyshev series. The ranges covered are , , , . Precision is varied, with a maximum of 20S.
Piessens and Branders (1972) gives the coefficients of the Chebyshev-series expansions of and , , for (23D).
19: Bibliography B
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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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Laplace approximations for hypergeometric functions with matrix argument.
Ann. Statist. 30 (4), pp. 1155–1177.
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