.世界杯奖金哪里来的_『网址:687.vii』2002年日韩世界杯分组_b5p6v3_kaaggw.hk

SearchAdvancedHelp

(0.006 seconds)

11—20 of 783 matching pages

11: 8.28 Software

… ►

§8.28(vii) Generalized Exponential Integral for Complex Argument and/or Parameter

…

12: Bibliography K

… ►

Quantum Calculus. Universitext, Springer-Verlag, New York.

ⓘ

External Links:

ISBN 0-387-95341-8, MathReview (P. D. F. Ion), ZentralBlatt

Referenced by:

Ch.17.

Encodings:

BibTeX

… ►

Differentialgleichungen: Lösungsmethoden und Lösungen. Teil I. B. G. Teubner, Stuttgart (German).

ⓘ

External Links:

ISBN 3-519-02017-3, MathReview, ZentralBlatt

Referenced by:

§1.13(vii), §10.13, §4.20, §4.34, §4.7(ii).

Encodings:

BibTeX

… ►

Replica field theories, Painlevé transcendents, and exact correlation functions. Phys. Rev. Lett. 89 (25), pp. (250201–1)–(250201–4).

ⓘ

External Links:

ISSN 0031-9007, Document, MathReview, ZentralBlatt

Referenced by:

§32.16.

Encodings:

BibTeX

… ►

Cyclic identities involving Jacobi elliptic functions. J. Math. Phys. 43 (7), pp. 3798–3806.

ⓘ

External Links:

ISSN 0022-2488, Document, MathReview, ZentralBlatt

Referenced by:

§22.9(i), §22.9(ii), §22.9(iii), §22.9(iv), §22.9(v).

Encodings:

BibTeX

… ►

Introduction to Solid State Physics. 7th Edition edition, John Wiley and Sons, New York.

ⓘ

External Links:

ISBN 0-471-11181-3

Referenced by:

§1.18(vii).

Encodings:

BibTeX

…

13: Bibliography C

… ►

A quadrature formula for the Hankel transform. Numer. Algorithms 9 (2), pp. 343–354.

ⓘ

External Links:

ISSN 1017-1398, Document, MathReview (V. I. Polovinkin), ZentralBlatt

Referenced by:

§10.74(vii).

Encodings:

BibTeX

►

An algorithm for the Fourier-Bessel transform. Comput. Phys. Comm. 23 (4), pp. 343–353.

ⓘ

External Links:

ISSN 0010-4655, Document, MathReview

Referenced by:

§10.74(vii).

Encodings:

BibTeX

… ►

Lauricella’s hypergeometric function $F_D$ . J. Math. Anal. Appl. 7 (3), pp. 452–470.

ⓘ

External Links:

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

Referenced by:

§19.15, §19.16(iii), §19.18(ii), §19.25(vii), §19.28, §19.28, Profile Bille C. Carlson.

Encodings:

BibTeX

… ►

Permutation symmetry for theta functions. J. Math. Anal. Appl. 378 (1), pp. 42–48.

ⓘ

External Links:

ISSN 0022-247X, Document, FullText, MathReview (Mohammad Ahmad), ZentralBlatt

Referenced by:

§20.11(v), §20.7(i), §20.7(i), §20.7(ii), §20.7(ii), §20.7(ii), §20.7(iii), §20.7(iii), §20.7(vii), §20.7(vii), Profile Bille C. Carlson.

Encodings:

BibTeX

… ►

Optimized fast Hankel transform filters. Geophysical Prospecting 38 (5), pp. 545–568.

ⓘ

External Links:

Document

Referenced by:

§10.74(vii).

Encodings:

BibTeX

…

14: Bibliography

… ►

The mathematical physics of rainbows and glories. Phys. Rep. 356 (4-5), pp. 229–365 (English).

ⓘ

External Links:

Document, FullText, ZentralBlatt

Referenced by:

§9.16, §9.16.

Encodings:

BibTeX

… ►

Some orthogonal $q$-polynomials. Math. Nachr. 30, pp. 47–61.

ⓘ

External Links:

ISSN 0025-584X, Document, MathReview (A. E. Danese), ZentralBlatt

Referenced by:

§18.27(vii).

Encodings:

BibTeX

… ►

Transformations $R{S}_4^2(3)$ of the ranks $\le 4$ and algebraic solutions of the sixth Painlevé equation. Comm. Math. Phys. 228 (1), pp. 151–176.

ⓘ

External Links:

ISSN 0010-3616, Document, MathReview (Andrei A. Kapaev), ZentralBlatt

Referenced by:

§32.9(iii).

Encodings:

BibTeX

… ►

Solid State Physics. Holt, Rinehart and Winston, New York.

ⓘ

External Links:

ISBN 0-03-083993-9

Referenced by:

§1.18(vii), §4.44, §8.22(ii).

Encodings:

BibTeX

… ►

Orthogonal Polynomials and Special Functions. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 21, Society for Industrial and Applied Mathematics, Philadelphia, PA.

ⓘ

External Links:

ISBN 0-89871-018-9, MathReview (G. Gasper), ZentralBlatt

Referenced by:

§18.10(ii), §18.18(vii), Profile Richard A. Askey.

Encodings:

BibTeX

…

15: Bibliography S

… ►

The Laplace Transform: Theory and Applications. Undergraduate Texts in Mathematics, Springer-Verlag, New York.

ⓘ

External Links:

ISBN 0-387-98698-7, MathReview (Philip Heywood), ZentralBlatt

Referenced by:

§1.14(iii), §1.14(vii).

Encodings:

BibTeX

… ►

The determination of phases of wave functions. Proc. Phys. Soc. 79 (6), pp. 1296–1297.

ⓘ

External Links:

Document, ZentralBlatt

Referenced by:

§33.23(vii).

Encodings:

BibTeX

… ►

The accuracy of iterated JWBK approximations for Coulomb radial functions. Comput. Phys. Comm. 32 (2), pp. 115–119.

ⓘ

External Links:

Document

Referenced by:

§33.23(vii).

Encodings:

BibTeX

… ►

Numerical evaluation of the Hankel transform. Comput. Phys. Comm. 116 (2-3), pp. 278–294.

ⓘ

External Links:

ISSN 0010-4655, Document, MathReview Entry, ZentralBlatt

Referenced by:

§10.74(vii).

Encodings:

BibTeX

… ►

An elliptic incarnation of the Bailey chain. Int. Math. Res. Not. 2002 (37), pp. 1945–1977.

ⓘ

External Links:

ISSN 1073-7928, Document, MathReview (S. Ole Warnaar), ZentralBlatt

Referenced by:

§17.12.

Encodings:

BibTeX

…

16: 10.74 Methods of Computation

… ►In the case of the modified Bessel function $K_{\nu }\left(z\right)$ see especially Temme (1975). … ►It should be noted, however, that there is a difficulty in evaluating the coefficients $A_k(\zeta )$, $B_k(\zeta )$, $C_k(\zeta )$, and $D_k(\zeta )$, from the explicit expressions (10.20.10)–(10.20.13) when $z$ is close to $1$ owing to severe cancellation. … ►Similarly, to maintain stability in the interval the integration direction has to be forwards in the case of $I_{\nu }\left(x\right)$ and backwards in the case of $K_{\nu }\left(x\right)$, with initial values obtained in an analogous manner to those for $J_{\nu }\left(x\right)$ and $Y_{\nu }\left(x\right)$. … ►Then $J_n\left(x\right)$ and $Y_n\left(x\right)$ can be generated by either forward or backward recurrence on $n$ when , but if $n>x$ then to maintain stability $J_n\left(x\right)$ has to be generated by backward recurrence on $n$, and $Y_n\left(x\right)$ has to be generated by forward recurrence on $n$. … ►

§10.74(vii) Integrals

…

17: Bibliography L

… ►

Evaluation of Bessel function integrals with algebraic singularities. J. Comput. Appl. Math. 37 (1-3), pp. 101–112.

ⓘ

External Links:

ISSN 0377-0427, Document, MathReview, ZentralBlatt

Referenced by:

§10.74(vii).

Encodings:

BibTeX

… ►

Comparison of a pair of upper bounds for a ratio of gamma functions. Math. Balkanica (N.S.) 16 (1-4), pp. 195–202.

ⓘ

External Links:

ISSN 0205-3217, MathReview, ZentralBlatt

Referenced by:

§5.6(i).

Encodings:

BibTeX

… ►

Two index laws for fractional integrals and derivatives. J. Austral. Math. Soc. 14, pp. 385–410.

ⓘ

External Links:

Document, MathReview (C. Fox), ZentralBlatt

Referenced by:

§1.15(vi), §1.15(vii).

Encodings:

BibTeX

… ►

Bessel transforms and rational extrapolation. Numer. Math. 47 (1), pp. 1–14.

ⓘ

External Links:

ISSN 0029-599X, Document, MathReview (Vítĕzslav Veselý), ZentralBlatt

Referenced by:

§10.74(vii).

Encodings:

BibTeX

… ►

Integrating some infinite oscillating tails. J. Comput. Appl. Math. 12/13, pp. 109–117.

ⓘ

External Links:

ISSN 0377-0427, Document, MathReview Entry, ZentralBlatt

Referenced by:

§3.5(vii).

Encodings:

BibTeX

18: 33.23 Methods of Computation

… ►§33.8 supplies continued fractions for $F_{\mathrm{\ell }}^{\prime }/F_{\mathrm{\ell }}$ and $H_{\mathrm{\ell }}^{\pm }{}_{}{}^{\prime }/H_{\mathrm{\ell }}^{\pm }$. Combined with the Wronskians (33.2.12), the values of $F_{\mathrm{\ell }}$, $G_{\mathrm{\ell }}$, and their derivatives can be extracted. … ►Bardin et al. (1972) describes ten different methods for the calculation of $F_{\mathrm{\ell }}$ and $G_{\mathrm{\ell }}$, valid in different regions of the ($\eta ,\rho$)-plane. … ►

§33.23(vii) WKBJ Approximations

… ►Hull and Breit (1959) and Barnett (1981b) give WKBJ approximations for $F_0$ and $G_0$ in the region inside the turning point: .

19: 8.24 Physical Applications

… ►The function $\gamma (a,x)$ appears in: discussions of power-law relaxation times in complex physical systems (Sornette (1998)); logarithmic oscillations in relaxation times for proteins (Metzler et al. (1999)); Gaussian orbitals and exponential (Slater) orbitals in quantum chemistry (Shavitt (1963), Shavitt and Karplus (1965)); population biology and ecological systems (Camacho et al. (2002)). … ►The function $I_x(a,b)$ appears in: Monte Carlo sampling in statistical mechanics (Kofke (2004)); analysis of packings of soft or granular objects (Prellberg and Owczarek (1995)); growth formulas in cosmology (Hamilton (2001)). … ►The function $E_p\left(x\right)$, with $p>0$, appears in theories of transport and radiative equilibrium (Hopf (1934), Kourganoff (1952), Altaç (1996)). ►With more general values of $p$, $E_p\left(x\right)$ supplies fundamental auxiliary functions that are used in the computation of molecular electronic integrals in quantum chemistry (Harris (2002), Shavitt (1963)), and also wave acoustics of overlapping sound beams (Ding (2000)).

20: 3.8 Nonlinear Equations

… ►The choice of $x_0$ here is critical. … ►Let $x_0$ and $x_1$ be such that $f_0=f(x_0)$ and $f_1=f(x_1)$ have opposite signs. … ►Whether or not $f_0$ and $f_1$ have opposite signs, $x_2$ is computed as in (3.8.6). … ►For fixed-point methods for computing zeros of special functions, see Segura (2002), Gil and Segura (2003), and Gil et al. (2007a, Chapter 7). … ►

§3.8(vii) Systems of Nonlinear Equations

…