.世界杯赌挣钱吗盘_『welcom_』澳门赛的抽签出来了吗_w2n3c1o_2022年12月10日16时43分54秒_eeyyrupg4_gov_hk

SearchAdvancedHelp

(0.003 seconds)

11—20 of 268 matching pages

11: 25.20 Approximations

… ►

Antia (1993) gives minimax rational approximations for $\mathrm{\Gamma }\left(s+1\right)F_s(x)$, where $F_s(x)$ is the Fermi–Dirac integral (25.12.14), for the intervals and , with $s=-\frac{1}{2},\frac{1}{2},\frac{3}{2},\frac{5}{2}$. For each $s$ there are three sets of approximations, with relative maximum errors ${10}^{-4},{10}^{-8},{10}^{-12}$.

12: Staff

… ►

Leonard C. Maximon, George Washington University, Chaps. 10, 34

… ►

Frank W. J. Olver, University of Maryland and NIST, Chaps. 1, 2, 4, 9, 10

… ►

Nico M. Temme, Centrum Wiskunde Informatica, Chaps. 3, 6, 7, 12

… ►

Diego Dominici, State University of New York at New Paltz, for Chaps. 9, 10 (deceased)

… ►

Nico M. Temme, Centrum Wiskunde & Informatica (CWI), for Chaps. 3, 6, 7, 12

…

13: 11.14 Tables

… ►

Abramowitz and Stegun (1964, Chapter 12) tabulates ${𝐇}_n\left(x\right)$, ${𝐇}_n\left(x\right)-Y_n\left(x\right)$, and $I_n\left(x\right)-{𝐋}_n\left(x\right)$ for $n=0,1$ and $x=0(.1)5$, $x^{-1}=0(.01)0.2$ to 6D or 7D.

… ►

Barrett (1964) tabulates ${𝐋}_n\left(x\right)$ for $n=0,1$ and $x=0.2(.005)4(.05)10(.1)19.2$ to 5 or 6S, $x=6(.25)59.5(.5)100$ to 2S.

… ►

Abramowitz and Stegun (1964, Chapter 12) tabulates ${\int }_0^x(I_0\left(t\right)-{𝐋}_0\left(t\right))dt$ and $(2/\pi ){\int }_x^{\mathrm{\infty }}{t}^{-1}{𝐇}_0\left(t\right)dt$ for $x=0(.1)5$ to 5D or 7D; ${\int }_0^x({𝐇}_0\left(t\right)-Y_0\left(t\right))dt-(2/\pi )\ln x$, ${\int }_0^x(I_0\left(t\right)-{𝐋}_0\left(t\right))dt-(2/\pi )\ln x$, and ${\int }_x^{\mathrm{\infty }}{t}^{-1}({𝐇}_0\left(t\right)-Y_0\left(t\right))dt$ for $x^{-1}=0(.01)0.2$ to 6D.

… ►

Bernard and Ishimaru (1962) tabulates ${𝐉}_{\nu }\left(x\right)$ and ${𝐄}_{\nu }\left(x\right)$ for $\nu =-10(.1)10$ and $x=0(.1)10$ to 5D.

… ►

Agrest and Maksimov (1971, Chapter 11) defines incomplete Struve, Anger, and Weber functions and includes tables of an incomplete Struve function ${𝐇}_n\left(x,\alpha \right)$ for $n=0,1$, $x=0(.2)10$, and $\alpha =0(.2)1.4,\frac{1}{2}\pi$, together with surface plots.

14: 26.5 Lattice Paths: Catalan Numbers

… ►

Table 26.5.1: Catalan numbers.

► ►►►►

$n$	$C\left(n\right)$	$n$	$C\left(n\right)$	$n$	$C\left(n\right)$
…
3	5	10	16796	17	1296 44790
…
5	42	12	2 08012	19	17672 63190
…

►

…

15: 34.11 Higher-Order $3nj$ Symbols

… ►For information on $12j,15j$,…, symbols, see Varshalovich et al. (1988, §10.12) and Yutsis et al. (1962, pp. 62–65 and 122–153).

16: Bibliography P

… ►

Influence of equilibrium shear flow along the magnetic field on the resistive tearing instability. Phys. Fluids 26 (10), pp. 2966–2975.

ⓘ

External Links:

ISSN 0031-9171, Document, MathReview, ZentralBlatt

Referenced by:

§11.12, §11.7(ii).

Encodings:

BibTeX

… ►

Zonal Polynomials of Order $1$ Through $12$ . In Selected Tables in Mathematical Statistics, H. L. Harter and D. B. Owen (Eds.), Vol. 2, pp. 199–388.

ⓘ

External Links:

MathReview

Referenced by:

§35.11.

Encodings:

BibTeX

… ►

A Fortran routine for the computation of gamma percentiles. Adv. Eng. Software 10 (3), pp. 159–164.

ⓘ

External Links:

Document, ZentralBlatt

Referenced by:

§8.28(ii).

Encodings:

BibTeX

►

A note on the computation of the incomplete beta function. Adv. Eng. Software 12 (1), pp. 39–44.

ⓘ

Notes:

Includes Basic code.

External Links:

Document

Referenced by:

§8.28(iv).

Encodings:

BibTeX

… ►

Comoving coordinate system for relativistic hydrodynamics. Phy. Rev. C 75, pp. (024907–1)–(024907–10).

ⓘ

External Links:

Document

Referenced by:

§7.21.

Encodings:

BibTeX

…

17: Bibliography Z

… ►

The Dilogarithm Function in Geometry and Number Theory. In Number Theory and Related Topics (Bombay, 1988), R. Askey and others (Eds.), Tata Inst. Fund. Res. Stud. Math., Vol. 12, pp. 231–249.

ⓘ

External Links:

MathReview (J. Browkin), ZentralBlatt

Referenced by:

§25.12(i).

Encodings:

BibTeX

… ►

A proof of Andrews’ $q$-Dyson conjecture. Discrete Math. 54 (2), pp. 201–224.

ⓘ

External Links:

ISSN 0012-365X, Document, MathReview (Ira Gessel), ZentralBlatt

Referenced by:

§17.14.

Encodings:

BibTeX

… ►

The summation of series of hyperbolic functions. SIAM J. Math. Anal. 10 (1), pp. 192–206.

ⓘ

External Links:

ISSN 0036-1410, Document, MathReview (Y. L. Luke), ZentralBlatt

Referenced by:

§4.41.

Encodings:

BibTeX

►

The computation of the smaller coefficients of $J(\tau )$ . Bull. Amer. Math. Soc. 45 (12), pp. 917–919.

ⓘ

External Links:

FullText, MathReview (H. Rademacher), ZentralBlatt

Referenced by:

§23.17(ii).

Encodings:

BibTeX

…

18: 3.9 Acceleration of Convergence

… ►with $s_{\mathrm{\infty }}=\frac{1}{12}{\pi }^2=\mathrm{0.82246\hspace{0.33em}70334\hspace{0.33em}24}\mathrm{\dots }$. ►

Table 3.9.1: Shanks’ transformation for $s_n={\sum }_{j=1}^n{(-1)}^{j+1}{j}^{-2}$.

► ►►►►

$n$	$t_{n,2}$	$t_{n,4}$	$t_{n,6}$	$t_{n,8}$	$t_{n,10}$
…
6	0.82239 19390 77	0.82246 61352 37	0.82246 70190 76	0.82246 70331 54	0.82246 70334 18
…
10	0.82245 30535 15	0.82246 69397 57	0.82246 70324 88	0.82246 70334 12	0.82246 70334 24

►

… ►For examples and other transformations for convergent sequences and series, see Wimp (1981, pp. 156–199), Brezinski and Redivo Zaglia (1991, pp. 55–72), and Sidi (2003, Chapters 6, 12–13, 15–16, 19–24, and pp. 483–492). …

19: Bibliography W

… ►

Asymptotics of orthogonal polynomials via recurrence relations. Anal. Appl. (Singap.) 10 (2), pp. 215–235.

ⓘ

External Links:

ISSN 0219-5305, Document, Link, MathReview (Li Zhong Peng), ZentralBlatt

Referenced by:

§2.9(iii), §2.9(iii).

Encodings:

BibTeX

… ►

Rapid approximation to the Voigt/Faddeeva function and its derivatives. J. Quant. Spect. and Rad. Transfer 62 (1), pp. 29–48.

ⓘ

Notes:

Includes Fortran code in the appendices to compute the functions to an accuracy between ${10}^{-2}$ and ${10}^{-5}$.

External Links:

ISSN 0022-4073, Document

Referenced by:

§7.21, §7.21.

Encodings:

BibTeX

… ►

The method of Darboux. J. Approximation Theory 10 (2), pp. 159–171.

ⓘ

External Links:

Document, MathReview (M. E. Noble), ZentralBlatt

Referenced by:

§2.10(iv).

Encodings:

BibTeX

… ►

Asymptotic expansions of the Kontorovich-Lebedev transform. Appl. Anal. 12 (3), pp. 161–172.

ⓘ

External Links:

ISSN 0003-6811, Document, MathReview (E. R. Love), ZentralBlatt

Referenced by:

§10.43(v).

Encodings:

BibTeX

… ►

Asymptotics of linear recurrences. Anal. Appl. (Singap.) 12 (4), pp. 463–484.

ⓘ

External Links:

ISSN 0219-5305, Document, Link, MathReview Entry, ZentralBlatt

Referenced by:

§2.9(iii), §2.9(iii).

Encodings:

BibTeX

…

20: 18.8 Differential Equations

… ►

Table 18.8.1: Classical OP’s: differential equations $A(x)f^{\prime \prime }(x)+B(x)f^{\prime }(x)+C(x)f(x)+{\lambda }_{n}f(x)=0$.

► ►►►►

#	$f(x)$	$A(x)$	$B(x)$	$C(x)$	${\lambda }_n$
…
10	${\mathrm{e}}^{-\frac{1}{2}x}{x}^{\frac{1}{2}\alpha }{L}_n^{(\alpha )}\left(x\right)$	$x$	$1$	$-\frac{1}{4}x-\frac{1}{4}{\alpha }^2{x}^{-1}$	$n+\frac{1}{2}(\alpha +1)$
…
12	$H_n\left(x\right)$	$1$	$-2x$	$0$	$2n$
…

►

…