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21—30 of 152 matching pages
21: 26.12 Plane Partitions
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Table 26.12.1: Plane partitions.
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11 | 859 | 28 | 24 83234 | 45 | 17740 79109 |
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13 | 2485 | 30 | 56 68963 | 47 | 36379 93036 |
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16 | 11297 | 33 | 189 74973 | 50 | 1 04996 40707 |
26.12.26
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22: Bibliography N
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Complex standard functions and their implementation in the CoStLy library.
ACM Trans. Math. Softw. 33 (1), pp. Article 2.
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Elliptic integrals of the second and third kinds.
Zastos. Mat. 11, pp. 99–102.
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On the calculation of elliptic integrals of the second and third kinds.
Zastos. Mat. 11, pp. 91–94.
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COULN, a program for evaluating negative energy Coulomb functions.
Comput. Phys. Comm. 33 (4), pp. 413–419.
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The asymptotic behavior of the general real solution of the third Painlevé equation.
Dokl. Akad. Nauk SSSR 283 (5), pp. 1161–1165 (Russian).
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23: 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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24: 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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25: 1.3 Determinants, Linear Operators, and Spectral Expansions
26: 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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27: 28.6 Expansions for Small
28: Software Index
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Open Source | With Book | Commercial | |||||||||||||||||||||||
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11 Struve and Related Functions | |||||||||||||||||||||||||
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30 Spheroidal Wave Functions | |||||||||||||||||||||||||
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33 Coulomb Functions | |||||||||||||||||||||||||
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29: 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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Theoretical and experimental investigation of the elliptical annual ring antenna.
IEEE Trans. Antennas and Propagation 36 (11), pp. 1526–1530.
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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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30: 9.18 Tables
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Miller (1946) tabulates , for , for ; , for ; , for ; , , , (respectively , , , ) for . Precision is generally 8D; slightly less for some of the auxiliary functions. Extracts from these tables are included in Abramowitz and Stegun (1964, Chapter 10), together with some auxiliary functions for large arguments.
National Bureau of Standards (1958) tabulates and for and ; for . Precision is 8D.
Gil et al. (2003c) tabulates the only positive zero of , the first 10 negative real zeros of and , and the first 10 complex zeros of , , , and . Precision is 11 or 12S.