addition formulas

SearchAdvancedHelp

(0.001 seconds)

1—10 of 57 matching pages

1: 4.24 Inverse Trigonometric Functions: Further Properties

… ►

§4.24(iii) Addition Formulas

…

2: 21.6 Products

… ►

§21.6(ii) Addition Formulas

… ►For addition formulas for classical theta functions see §20.7(ii).

3: 4.35 Identities

… ►

§4.35(i) Addition Formulas

…

4: 4.38 Inverse Hyperbolic Functions: Further Properties

… ►

§4.38(iii) Addition Formulas

…

5: 4.21 Identities

… ►

§4.21(i) Addition Formulas

…

6: 20.11 Generalizations and Analogs

… ►Such sets of twelve equations include derivatives, differential equations, bisection relations, duplication relations, addition formulas (including new ones for theta functions), and pseudo-addition formulas. …

7: 22.16 Related Functions

… ►

Quasi-Addition and Quasi-Periodic Formulas

… ►

Properties

► $\mathrm{Z}\left(x|k\right)$ satisfies the same quasi-addition formula as the function $ℰ(x,k)$, given by (22.16.27). …

8: 20.7 Identities

… ►

§20.7(ii) Addition Formulas

…

9: Bibliography K

… ►

Jacobi polynomials. III. An analytic proof of the addition formula. SIAM. J. Math. Anal. 6, pp. 533–543.

ⓘ

External Links:

Document, MathReview (G. Gasper), ZentralBlatt

Referenced by:

§18.18(ii).

Encodings:

BibTeX

… ►

The addition formula for Laguerre polynomials. SIAM J. Math. Anal. 8 (3), pp. 535–540.

ⓘ

External Links:

Document, MathReview (M. Mikolas), ZentralBlatt

Referenced by:

(18.14.8), §18.14(i), §18.17(ii), §18.18(ii).

Encodings:

BibTeX

…

10: 23.20 Mathematical Applications

… ►It follows from the addition formula (23.10.1) that the points $P_j=P(z_j)$, $j=1,2,3$, have zero sum iff $z_1+z_2+z_3\in 𝕃$, so that addition of points on the curve $C$ corresponds to addition of parameters $z_j$ on the torus $ℂ/𝕃$; see McKean and Moll (1999, §§2.11, 2.14). …