欢乐斗地主残局专家第16关【杏彩官方qee9.com】完全不用网络的斗地主Q6S8

SearchAdvancedHelp

(0.003 seconds)

21—30 of 110 matching pages

21: 4.25 Continued Fractions

… ►

4.25.4 $$\arctan z=\frac{z}{1+}\frac{z^2}{3+}\frac{4z^2}{5+}\frac{9z^2}{7+}\frac{16z^2}{9+}\mathrm{\cdots },$$

ⓘ

Symbols:

$\arctan z$: arctangent function and $z$: complex variable

A&S Ref:

4.4.43

Referenced by:

§3.10(ii)

Permalink:

http://dlmf.nist.gov/4.25.E4

Encodings:

pMML, png, TeX

See also:

Annotations for §4.25 and Ch.4

…

22: 5.23 Approximations

… ►For rational approximations to $\psi \left(z\right)+\gamma$ see Luke (1975, pp. 13–16).

23: 7.13 Zeros

… ►

$x_n\sim \lambda -\frac{1}{4}\mu {\lambda }^{-1}+\frac{1}{16}(1-\mu +\frac{1}{2}{\mu }^2){\lambda }^{-3}-\mathrm{\cdots },$

►

$y_n\sim \lambda +\frac{1}{4}\mu {\lambda }^{-1}+\frac{1}{16}(1-\mu +\frac{1}{2}{\mu }^2){\lambda }^{-3}+\mathrm{\cdots },$

… ►

$x_n\sim -\lambda +\frac{1}{4}\mu {\lambda }^{-1}-\frac{1}{16}(1-\mu +\frac{1}{2}{\mu }^2){\lambda }^{-3}+\mathrm{\cdots },$

►

$y_n\sim \lambda +\frac{1}{4}\mu {\lambda }^{-1}+\frac{1}{16}(1-\mu +\frac{1}{2}{\mu }^2){\lambda }^{-3}+\mathrm{\cdots },$

…

24: 26.2 Basic Definitions

… ►

Table 26.2.1: Partitions $p\left(n\right)$.

► ►►►

$n$	$p\left(n\right)$	$n$	$p\left(n\right)$	$n$	$p\left(n\right)$
…
16	231	33	10143	50	2 04226

►

25: 26.10 Integer Partitions: Other Restrictions

… ►

Table 26.10.1: Partitions restricted by difference conditions, or equivalently with parts from $A_{j,k}$.

► ►►►►

	$p(𝒟,n)$	$p(𝒟2,n)$	$p(𝒟2,\in T,n)$	$p({𝒟}^{\prime }3,n)$
…
$16$	$32$	$17$	$11$	$10$
…
$19$	$54$	$26$	$16$	$16$
…

►

…

26: Bibliography U

… ►

Integral equations for the paraboloidal wave functions. II. Quart. J. Math. Oxford Ser. (2) 16, pp. 257–262.

ⓘ

External Links:

Document, MathReview (J. Meixner), ZentralBlatt

Referenced by:

§28.31(iii), §28.31(iii).

Encodings:

BibTeX

…

27: Bibliography Y

… ►

$J$-matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering. J. Math. Phys. 16, pp. 410–420.

ⓘ

Referenced by:

§18.39(iv).

Encodings:

BibTeX

…

28: Publications

… ►

Advances in Math Search, Proceedings 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, July 17, 2007.

…

29: Bibliography

… ►

Some series of the zeta and related functions. Analysis (Munich) 18 (2), pp. 131–144.

ⓘ

External Links:

ISSN 0174-4747, MathReview (Jack Quine), ZentralBlatt

Referenced by:

(25.11.37), (25.11.38), (25.11.39), (25.11.40), §25.11, §25.11(xi), (25.8.1), (25.8.4), §25.8.

Encodings:

BibTeX

… ►

Chapter $16$ of Ramanujan’s second notebook: Theta-functions and $q$-series. Mem. Amer. Math. Soc. 53 (315), pp. v+85.

ⓘ

External Links:

ISSN 0065-9266, MathReview (R. A. Askey), ZentralBlatt

Referenced by:

§20.11(ii).

Encodings:

BibTeX

… ►

Integrals of products of Bernoulli polynomials. J. Math. Anal. Appl. 381 (1), pp. 10–16.

ⓘ

External Links:

ISSN 0022-247X, Document, FullText, MathReview (Pablo Manuel Román), ZentralBlatt

Referenced by:

§24.13(i), §24.13(i).

Encodings:

BibTeX

… ►

Applications of basic hypergeometric functions. SIAM Rev. 16 (4), pp. 441–484.

ⓘ

External Links:

Document, MathReview (L. J. Slater), ZentralBlatt

Referenced by:

§17.16, Ch.17.

Encodings:

BibTeX

… ►

Continuous Hahn polynomials. J. Phys. A 18 (16), pp. L1017–L1019.

ⓘ

External Links:

ISSN 0305-4470, FullText, MathReview (T. S. Chihara), ZentralBlatt

Referenced by:

§18.19, §18.20(ii), §18.21(ii).

Encodings:

BibTeX

…

30: 7.11 Relations to Other Functions

… ►

7.11.7 $$C\left(z\right)=z{}_1{}^{}F_2^{}(\frac{1}{4};\frac{5}{4},\frac{1}{2};-\frac{1}{16}{\pi }^2{z}^4),$$

ⓘ

Symbols:

$C\left(z\right)$: Fresnel integral, ${}_p{}^{}F_q^{}(a_1,\mathrm{\dots },a_p;b_1,\mathrm{\dots },b_q;z)$ or ${}_p{}^{}F_q^{}(\genfrac{}{}{0pt}{}{a_1,\mathrm{\dots },a_p}{b_1,\mathrm{\dots },b_q};z)$: alternatively ${}_p{}^{}F_q^{}(𝐚;𝐛;z)$ or ${}_p{}^{}F_q^{}(\genfrac{}{}{0pt}{}{𝐚}{𝐛};z)$
generalized hypergeometric function, $\pi$: the ratio of the circumference of a circle to its diameter and $z$: complex variable

Permalink:

http://dlmf.nist.gov/7.11.E7

Encodings:

pMML, png, TeX

See also:

Annotations for §7.11, §7.11 and Ch.7

►

7.11.8 $$S\left(z\right)=\frac{1}{6}\pi z^3{}_1{}^{}F_2^{}(\frac{3}{4};\frac{7}{4},\frac{3}{2};-\frac{1}{16}{\pi }^2{z}^4).$$

ⓘ

Symbols:

$S\left(z\right)$: Fresnel integral, ${}_p{}^{}F_q^{}(a_1,\mathrm{\dots },a_p;b_1,\mathrm{\dots },b_q;z)$ or ${}_p{}^{}F_q^{}(\genfrac{}{}{0pt}{}{a_1,\mathrm{\dots },a_p}{b_1,\mathrm{\dots },b_q};z)$: alternatively ${}_p{}^{}F_q^{}(𝐚;𝐛;z)$ or ${}_p{}^{}F_q^{}(\genfrac{}{}{0pt}{}{𝐚}{𝐛};z)$
generalized hypergeometric function, $\pi$: the ratio of the circumference of a circle to its diameter and $z$: complex variable

Permalink:

http://dlmf.nist.gov/7.11.E8

Encodings:

pMML, png, TeX

See also:

Annotations for §7.11, §7.11 and Ch.7