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1: 4.24 Inverse Trigonometric Functions: Further Properties
§4.24(iii) Addition Formulas
2: 4.35 Identities
§4.35(i) Addition Formulas
3: 4.38 Inverse Hyperbolic Functions: Further Properties
§4.38(iii) Addition Formulas
4: 21.6 Products
§21.6(ii) Addition Formulas
For addition formulas for classical theta functions see §20.7(ii).
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
Z ( x | k ) satisfies the same quasi-addition formula as the function ( x , k ) , given by (22.16.27). …
8: 20.7 Identities
§20.7(ii) Addition Formulas
9: Bibliography K
  • T. H. Koornwinder (1975b) Jacobi polynomials. III. An analytic proof of the addition formula. SIAM. J. Math. Anal. 6, pp. 533–543.
  • T. H. Koornwinder (1977) The addition formula for Laguerre polynomials. SIAM J. Math. Anal. 8 (3), pp. 535–540.
  • 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 𝕃 , so that addition of points on the curve C corresponds to addition of parameters z j on the torus / 𝕃 ; see McKean and Moll (1999, §§2.11, 2.14). …