.男篮世界杯预选赛中国vs黎巴嫩『wn4.com』咪咕世界杯营销方案.w6n2c9o.2022年11月29日5时52分2秒.yeyo8yaka
(0.005 seconds)
31—40 of 814 matching pages
31: 21.1 Special Notation
…
►
►
…
►The function is also commonly used; see, for example, Belokolos et al. (1994, §2.5), Dubrovin (1981), and Fay (1973, Chapter 1).
positive integers. | |
… | |
Transpose of . | |
… | |
. | |
… | |
set of all elements of the form “”. | |
set of all elements of , modulo elements of . Thus two elements of are equivalent if they are both in and their difference is in . (For an example see §20.12(ii).) | |
… |
32: 1.3 Determinants, Linear Operators, and Spectral Expansions
…
►For :
…
►for every distinct pair of , or when one of the factors vanishes.
…
►where are the th roots of unity (1.11.21).
…
►Let be defined for all integer values of and , and denote the determinant
…
►Taking norms,
…
33: Bibliography J
…
►
Distributions of matrix variates and latent roots derived from normal samples.
Ann. Math. Statist. 35 (2), pp. 475–501.
…
►
The effect on Love waves of heterogeneity in the lower layer.
Monthly Notices Roy. Astronom. Soc. Geophysical Supplement 2, pp. 101–111.
…
►
Asymptotic behavior of integrals.
SIAM Rev. 14 (2), pp. 286–317.
…
►
Continued Fractions: Analytic Theory and Applications.
Encyclopedia of Mathematics and its Applications, Vol. 11, Addison-Wesley Publishing Co., Reading, MA.
…
►
The Dirichlet boundary value problem for real solutions of the first Painlevé equation on segments in non-positive semi-axis.
J. Reine Angew. Math. 583, pp. 29–86.
…
34: Bibliography W
…
►
Rapid approximation to the Voigt/Faddeeva function and its derivatives.
J. Quant. Spect. and Rad. Transfer 62 (1), pp. 29–48.
…
►
Some transformations of generalized hypergeometric series.
Proc. London Math. Soc. (2) 26 (2), pp. 257–272.
…
►
Some hypergeometric orthogonal polynomials.
SIAM J. Math. Anal. 11 (4), pp. 690–701.
…
►
On the asymptotic behavior of the Fourier coefficients of Mathieu functions.
J. Res. Nat. Inst. Standards Tech. 113 (1), pp. 11–15.
…
►
The generalized Bessel function of order greater than one.
Quart. J. Math., Oxford Ser. 11, pp. 36–48.
…
35: Bibliography S
…
►
Recursive evaluation of - and - coefficients.
Comput. Phys. Comm. 11 (2), pp. 269–278.
…
►
On integral representations for Lamé and other special functions.
SIAM J. Math. Anal. 11 (4), pp. 702–723.
…
►
The Laplace transforms of products of Airy functions.
Dirāsāt Ser. B Pure Appl. Sci. 19 (2), pp. 7–11.
…
►
A simple approach to asymptotic expansions for Fourier integrals of singular functions.
Appl. Math. Comput. 216 (11), pp. 3378–3385.
…
►
Représentation asymptotique de la solution générale de l’équation de Mathieu-Hill.
Acad. Roy. Belg. Bull. Cl. Sci. (5) 51 (11), pp. 1415–1446.
…
36: 10.75 Tables
…
►
•
…
►
•
…
►
•
…
►
•
…
►
•
…
Makinouchi (1966) tabulates all values of and in the interval , with at least 29S. These are for , 10, 20; , ; with and , except for .
Abramowitz and Stegun (1964, Chapter 11) tabulates , , , 10D; , , , 8D.
Leung and Ghaderpanah (1979), tabulates all zeros of the principal value of , for , 29S.
Kerimov and Skorokhodov (1984c) tabulates all zeros of and in the sector for , 9S.
Abramowitz and Stegun (1964, Chapter 11) tabulates , , , 7D; , , , 6D.
37: 12.9 Asymptotic Expansions for Large Variable
38: Bibliography M
…
►
Rational solutions of the Painlevé VI equation.
J. Phys. A 34 (11), pp. 2281–2294.
…
►
Calculation of the complete elliptic integrals with complex modulus.
Numer. Math. 29 (2), pp. 233–236.
…
►
Stirling numbers of the second kind.
Duke Math. J. 25 (1), pp. 29–43.
…
►
Spheroidal eigenfunctions of the tidal equation.
Phys. Rev. Lett. 73 (11), pp. 1557–1560.
…
►
Zeros of the function
.
Differential Equations 11, pp. 797–811.
…
39: 24.19 Methods of Computation
…
►If denotes the right-hand side of (24.19.1) but with the second product taken only for , then for .
…
►For other information see Chellali (1988) and Zhang and Jin (1996, pp. 1–11).
…
►For number-theoretic applications it is important to compute for ; in particular to find the irregular pairs
for which .
…
►
•
►
•