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1: 28.6 Expansions for Small
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28.6.2
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28.6.3
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28.6.4
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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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2: 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).
3: 4 Elementary Functions
Chapter 4 Elementary Functions
…4: 24.2 Definitions and Generating Functions
5: 22.9 Cyclic Identities
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►These identities are cyclic in the sense that each of the indices in the first product of, for example, the form are simultaneously permuted in the cyclic order: ; .
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22.9.17
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22.9.18
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§22.9(iv) Typical Identities of Rank 4
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22.9.23
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6: 10.12 Generating Function and Associated Series
7: 36.5 Stokes Sets
8: Bibliography P
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Optical properties of layer antiferromagnets with structure.
J. Phys. C: Solid State Physics 2 (11), pp. 2012–2021.
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Bounds for ratios of modified Bessel functions.
Integral Transform. Spec. Funct. 9 (4), pp. 293–298.
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The exact distribution of the Wald statistic.
Econometrica 54 (4), pp. 881–895.
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Stacking models of vesicles and compact clusters.
J. Statist. Phys. 80 (3–4), pp. 755–779.
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Elliptic integrals.
Computers in Physics 4 (1), pp. 92–96.
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9: Bibliography K
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The group , separation of variables and the hydrogen atom.
SIAM J. Appl. Math. 30 (4), pp. 630–664.
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Replica field theories, Painlevé transcendents, and exact correlation functions.
Phys. Rev. Lett. 89 (25), pp. (250201–1)–(250201–4).
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Theta relations and projective normality of Abelian varieties.
Amer. J. Math. 98 (4), pp. 865–889.
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Algorithm 327: Dilogarithm [S22].
Comm. ACM 11 (4), pp. 270–271.
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Meixner-Pollaczek polynomials and the Heisenberg algebra.
J. Math. Phys. 30 (4), pp. 767–769.
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10: 6.3 Graphics
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