四川师范大学学位证获得要求【somewhat微aptao168】288

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1: Software Index

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These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.

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2: 4.47 Approximations

… ►See Luke (1975, pp. 288–289) and Luke (1969b, pp.74–76).

3: 15.14 Integrals

… ►Mellin transforms of hypergeometric functions are given in Erdélyi et al. (1954a, §6.9), Oberhettinger (1974, §1.15), and Marichev (1983, pp. 288–299). …

4: 4.19 Maclaurin Series and Laurent Series

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5: Bibliography E

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On an integral inequality. Proc. Roy. Soc. London Ser. A 357, pp. 271–288.

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External Links:

ISSN 0962-8444, FullText, MathReview, ZentralBlatt

Referenced by:

§10.37.

Encodings:

BibTeX

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6: Bibliography K

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On multiple zeros of derivatives of Bessel’s cylindrical functions. Dokl. Akad. Nauk SSSR 288 (2), pp. 285–288 (Russian).

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Notes:

In Russian. English translation: Soviet Math. Dokl. 33(3), 650–653, (1986).

External Links:

ISSN 0002-3264, MathReview (Boro Döring), ZentralBlatt

Referenced by:

§10.21(i), §10.74(vi).

Encodings:

BibTeX

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7: 5.11 Asymptotic Expansions

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$g_2=\frac{1}{288},$

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8: 9.9 Zeros

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9.9.19 $$U(t)\sim t^{2/3}\left(1-\frac{7}{48}{t}^{-2}+\frac{35}{288}{t}^{-4}-\frac{\mathrm{1\hspace{0.33em}81223}}{\mathrm{2\hspace{0.33em}07360}}{t}^{-6}+\frac{\mathrm{186\hspace{0.33em}83371}}{\mathrm{12\hspace{0.33em}44160}}{t}^{-8}-\frac{\mathrm{9\hspace{0.33em}11458\hspace{0.33em}84361}}{\mathrm{1911\hspace{0.33em}02976}}{t}^{-10}+\mathrm{\cdots }\right),$$

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Defines:

$U$: expansion (locally)

Symbols:

$\sim$: Poincaré asymptotic expansion

Source:

Olver (1954, (A 19))

Permalink:

http://dlmf.nist.gov/9.9.E19

Encodings:

pMML, png, TeX

See also:

Annotations for §9.9(iv), §9.9 and Ch.9

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9: 34.3 Basic Properties: $\mathit{3}j$ Symbol

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10: Bibliography B

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Algorithm 719: Multiprecision translation and execution of Fortran programs. ACM Trans. Math. Software 19 (3), pp. 288–319.

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External Links:

ISSN 0098-3500, Document, GAMS (module 719; package TOMS), C++ wrapper, ZentralBlatt

Referenced by:

3rd item, 2nd item.

Encodings:

BibTeX

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On numerical evaluation of integrals involving Bessel functions. Apl. Mat. 31 (5), pp. 396–410.

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External Links:

ISSN 0373-6725, MathReview (G. A. Evans), ZentralBlatt

Referenced by:

§10.74(vii).

Encodings:

BibTeX

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