properties

SearchAdvancedHelp

(0.001 seconds)

21—30 of 199 matching pages

21: 13.27 Mathematical Applications

… ►This identification can be used to obtain various properties of the Whittaker functions, including recurrence relations and derivatives. …

22: 23.17 Elementary Properties

§23.17 Elementary Properties

…

23: 29.11 Lamé Wave Equation

… ►For properties of the solutions of (29.11.1) see Arscott (1956, 1959), Arscott (1964b, Chapter X), Erdélyi et al. (1955, §16.14), Fedoryuk (1989), and Müller (1966a, b, c).

24: 10.69 Uniform Asymptotic Expansions for Large Order

… ►All fractional powers take their principal values. ►All four expansions also enjoy the same kind of double asymptotic property described in §10.41(iv). …

25: 16.2 Definition and Analytic Properties

§16.2 Definition and Analytic Properties

… ►

§16.2(ii) Case $p\le q$

… ►

§16.2(iii) Case $p=q+1$

… ►

§16.2(iv) Case $p>q+1$

… ►

§16.2(v) Behavior with Respect to Parameters

…

26: 35.3 Multivariate Gamma and Beta Functions

… ►

§35.3(ii) Properties

… ►

35.3.6 $${\mathrm{\Gamma }}_m\left(a,\mathrm{\dots },a\right)={\mathrm{\Gamma }}_m\left(a\right).$$

ⓘ

Symbols:

${\mathrm{\Gamma }}_m\left(a\right)$: multivariate gamma function, $a$: complex variable and $m$: positive integer

Permalink:

http://dlmf.nist.gov/35.3.E6

Encodings:

pMML, png, TeX

See also:

Annotations for §35.3(ii), §35.3 and Ch.35

…

27: 27.3 Multiplicative Properties

§27.3 Multiplicative Properties

… ►Related multiplicative properties are …

28: 31.12 Confluent Forms of Heun’s Equation

… ►This has one singularity, an irregular singularity of rank $3$ at $z=\mathrm{\infty }$. ►For properties of the solutions of (31.12.1)–(31.12.4), including connection formulas, see Bühring (1994), Ronveaux (1995, Parts B,C,D,E), Wolf (1998), Lay and Slavyanov (1998), and Slavyanov and Lay (2000). …

29: Bibliography R

… ►

Congruence properties of partitions. Math. Z. 9 (1-2), pp. 147–153.

ⓘ

External Links:

ISSN 0025-5874, ISSN 0025-5874, Document, MathReview Entry, ZentralBlatt

Referenced by:

§27.14(v).

Encodings:

BibTeX

►

Some properties of Bernoulli’s numbers (J. Indian Math. Soc. 3 (1911), 219–234.). In Collected Papers,

ⓘ

Referenced by:

§24.7(i).

Encodings:

BibTeX

… ►

On the definition and properties of generalized $6$-$j$ symbols. J. Math. Phys. 20 (12), pp. 2398–2415.

ⓘ

External Links:

ISSN 0022-2488, Document, MathReview (S. Saran), ZentralBlatt

Referenced by:

§16.4(iii), §16.4(iii).

Encodings:

BibTeX

… ►

Universality properties of Gaussian quadrature, the derivative rule, and a novel approach to Stieltjes inversion.

ⓘ

Notes:

arXiv:1812.02196

Referenced by:

§18.40(ii).

Encodings:

BibTeX

… ►

An extremum property of the $n$-dimensional sphere. J. Phys. A 13 (10), pp. L349–L351.

ⓘ

External Links:

ISSN 0305-4470, Document, MathReview

Referenced by:

§5.19(iii).

Encodings:

BibTeX

…

30: 5.15 Polygamma Functions

§5.15 Polygamma Functions

… ►Most properties of these functions follow straightforwardly by differentiation of properties of the psi function. …