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21—30 of 93 matching pages
21: 30.17 Tables
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Zhang and Jin (1996) includes 24 tables of eigenvalues, spheroidal wave functions and their derivatives. Precision varies between 6S and 8S.
22: Bibliography E
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Tables of Integral Transforms. Vol. I.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
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Higher Transcendental Functions. Vol. I.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
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Higher Transcendental Functions. Vol. II.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
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23: Bibliography U
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Solutions of the third Painlevé equation. I.
Nagoya Math. J. 151, pp. 1–24.
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24: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
25: 6.14 Integrals
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►For collections of integrals, see Apelblat (1983, pp. 110–123), Bierens de Haan (1939, pp. 373–374, 409, 479, 571–572, 637, 664–673, 680–682, 685–697), Erdélyi et al. (1954a, vol. 1, pp. 40–42, 96–98, 177–178, 325), Geller and Ng (1969), Gradshteyn and Ryzhik (2000, §§5.2–5.3 and 6.2–6.27), Marichev (1983, pp. 182–184), Nielsen (1906b), Oberhettinger (1974, pp. 139–141), Oberhettinger (1990, pp. 53–55 and 158–160), Oberhettinger and Badii (1973, pp. 172–179), Prudnikov et al. (1986b, vol. 2, pp. 24–29 and 64–92), Prudnikov et al. (1992a, §§3.4–3.6), Prudnikov et al. (1992b, §§3.4–3.6), and Watrasiewicz (1967).
26: 23.17 Elementary Properties
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27: 26.16 Multiset Permutations
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►Thus , and
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28: 29.7 Asymptotic Expansions
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29.7.7
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29: 31.3 Basic Solutions
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►There are 192 automorphisms in all, so there are equivalent expressions for each of the 8.
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►The full set of 192 local solutions of (31.2.1), equivalent in 8 sets of 24, resembles Kummer’s set of 24 local solutions of the hypergeometric equation, which are equivalent in 4 sets of 6 solutions (§15.10(ii)); see Maier (2007).
30: Bibliography L
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A systematic “saddle point near a pole” asymptotic method with application to the Gauss hypergeometric function.
Stud. Appl. Math. 127 (1), pp. 24–37.
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Asymptotics of the first Appell function with large parameters II.
Integral Transforms Spec. Funct. 24 (12), pp. 982–999.
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Higher monotonicity properties of certain Sturm-Liouville functions. IV.
Canad. J. Math. 24, pp. 349–368.
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Some inequalities for the first positive zeros of Bessel functions.
SIAM J. Math. Anal. 24 (3), pp. 814–823.
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Further approximations for elliptic integrals.
Math. Comp. 24 (109), pp. 191–198.
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