… ►For additional approximations see Hart et al. (1968, Appendix B), Luke (1975, pp. 22–23), and Weniger (2003). … ►See Luke (1975, pp. 22–23) for additional expansions. …

8: 26.2 Basic Definitions

… ►

Table 26.2.1: Partitions

p\left(n\right)

► ►►►►

$n$	$p\left(n\right)$	$n$	$p\left(n\right)$	$n$	$p\left(n\right)$
…
5	7	22	1002	39	31185
…
8	22	25	1958	42	53174
…

►

9: Bibliography Z

… ►

M. R. Zaghloul and A. N. Ali (2011) Algorithm 916: computing the Faddeyeva and Voigt functions. ACM Trans. Math. Software 38 (2), pp. Art. 15, 22.

ⓘ

External Links:: ISSN 0098-3500, Document, FullText, MathReview Entry, ZentralBlatt
Referenced by:: 2nd item, 5th item.
Encodings:: BibTeX

… ►

M. R. Zaghloul (2017) Algorithm 985: Simple, Efficient, and Relatively Accurate Approximation for the Evaluation of the Faddeyeva Function. ACM Trans. Math. Softw. 44 (2), pp. 22:1–22:9.

ⓘ

External Links:: ISSN 0098-3500, Link, Document, MathReview Entry, ZentralBlatt
Referenced by:: 4th item, §7.25(iii).
Encodings:: BibTeX

… ►

J. Zeng (1992) Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials. Proc. London Math. Soc. (3) 65 (1), pp. 1–22.

ⓘ

External Links:: ISSN 0024-6115, Document, Link, MathReview (R. A. Askey), ZentralBlatt
Referenced by:: §18.18(v).
Encodings:: BibTeX

… ►

M. I. Žurina and L. N. Karmazina (1964) Tables of the Legendre functions

P_{-\ifrac{1}{2}+i\tau}(x)

. Part I. Translated by D. E. Brown. Mathematical Tables Series, Vol. 22, Pergamon Press, Oxford.

ⓘ

Notes:: Translation of Žurina and Karmazina, Tablitsy funktsii Lezhandra $P_{-1/2+i\tau}(x)$ . Tom I, Izdat. Akad. Nauk SSSR, Moscow, 1960.
External Links:: MathReview (John Todd), ZentralBlatt
Referenced by:: 4th item.
Encodings:: BibTeX

…

10: 1.3 Determinants, Linear Operators, and Spectral Expansions

… ►

1.3.1

\det[a_{jk}]=\begin{vmatrix}a_{11}&a_{12}\\ a_{21}&a_{22}\end{vmatrix}=a_{11}a_{22}-a_{12}a_{21}.

ⓘ

Symbols:: $\det$ : determinant, $j$ : integer and $k$ : integer
Permalink:: http://dlmf.nist.gov/1.3.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §1.3(i), §1.3(i), §1.3 and Ch.1

… ►

1.3.2

\det[a_{jk}]=\begin{vmatrix}a_{11}&a_{12}&a_{13}\\ a_{21}&a_{22}&a_{23}\\ a_{31}&a_{32}&a_{33}\end{vmatrix}=a_{11}\begin{vmatrix}a_{22}&a_{23}\\ a_{32}&a_{33}\end{vmatrix}-a_{12}\begin{vmatrix}a_{21}&a_{23}\\ a_{31}&a_{33}\end{vmatrix}+a_{13}\begin{vmatrix}a_{21}&a_{22}\\ a_{31}&a_{32}\end{vmatrix}=a_{11}a_{22}a_{33}-a_{11}a_{23}a_{32}-a_{12}a_{21}a% _{33}+a_{12}a_{23}a_{31}+a_{13}a_{21}a_{32}-a_{13}a_{22}a_{31}.

ⓘ

Symbols:: $\det$ : determinant, $j$ : integer and $k$ : integer
Permalink:: http://dlmf.nist.gov/1.3.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §1.3(i), §1.3(i), §1.3 and Ch.1

… ►

1.3.8

{\begin{vmatrix}a_{11}&a_{12}\\ a_{21}&a_{22}\end{vmatrix}}^{2}\leq(a^{2}_{11}+a^{2}_{12})(a^{2}_{21}+a^{2}_{2% 2}),

ⓘ

Symbols:: $\det$ : determinant
Permalink:: http://dlmf.nist.gov/1.3.E8
Encodings:: pMML, png, TeX
See also:: Annotations for §1.3(i), §1.3(i), §1.3 and Ch.1

…

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1—10 of 71 matching pages

1: 22 Jacobian Elliptic Functions

Chapter 22 Jacobian Elliptic Functions

2: 34.6 Definition: 9 ⁢ j Symbol

3: 34.7 Basic Properties: 9 ⁢ j Symbol

4: William P. Reinhardt

5: Peter L. Walker

6: Staff

7: 5.23 Approximations

8: 26.2 Basic Definitions

9: Bibliography Z

10: 1.3 Determinants, Linear Operators, and Spectral Expansions

2: 34.6 Definition: $\mathit{9j}$ Symbol

3: 34.7 Basic Properties: $\mathit{9j}$ Symbol